What is the Least Common Multiple of 49942 and 49949?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 49942 and 49949 is 2494552958.
LCM(49942,49949) = 2494552958
Least Common Multiple of 49942 and 49949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49942 and 49949, than apply into the LCM equation.
GCF(49942,49949) = 1
LCM(49942,49949) = ( 49942 × 49949) / 1
LCM(49942,49949) = 2494552958 / 1
LCM(49942,49949) = 2494552958
Least Common Multiple (LCM) of 49942 and 49949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49942 and 49949. First we will calculate the prime factors of 49942 and 49949.
Prime Factorization of 49942
Prime factors of 49942 are 2, 24971. Prime factorization of 49942 in exponential form is:
49942 = 21 × 249711
Prime Factorization of 49949
Prime factors of 49949 are 199, 251. Prime factorization of 49949 in exponential form is:
49949 = 1991 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 49942 and 49949.
LCM(49942,49949) = 21 × 249711 × 1991 × 2511
LCM(49942,49949) = 2494552958
Related Least Common Multiples of 49942
- LCM of 49942 and 49946
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- LCM of 49942 and 49949
- LCM of 49942 and 49950
- LCM of 49942 and 49951
- LCM of 49942 and 49952
- LCM of 49942 and 49953
- LCM of 49942 and 49954
- LCM of 49942 and 49955
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- LCM of 49942 and 49958
- LCM of 49942 and 49959
- LCM of 49942 and 49960
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Related Least Common Multiples of 49949
- LCM of 49949 and 49953
- LCM of 49949 and 49954
- LCM of 49949 and 49955
- LCM of 49949 and 49956
- LCM of 49949 and 49957
- LCM of 49949 and 49958
- LCM of 49949 and 49959
- LCM of 49949 and 49960
- LCM of 49949 and 49961
- LCM of 49949 and 49962
- LCM of 49949 and 49963
- LCM of 49949 and 49964
- LCM of 49949 and 49965
- LCM of 49949 and 49966
- LCM of 49949 and 49967
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