What is the Least Common Multiple of 49952 and 49964?
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 49952 and 49964 is 623950432.
LCM(49952,49964) = 623950432
Least Common Multiple of 49952 and 49964 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49952 and 49964, than apply into the LCM equation.
GCF(49952,49964) = 4
LCM(49952,49964) = ( 49952 × 49964) / 4
LCM(49952,49964) = 2495801728 / 4
LCM(49952,49964) = 623950432
Least Common Multiple (LCM) of 49952 and 49964 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49952 and 49964. First we will calculate the prime factors of 49952 and 49964.
Prime Factorization of 49952
Prime factors of 49952 are 2, 7, 223. Prime factorization of 49952 in exponential form is:
49952 = 25 × 71 × 2231
Prime Factorization of 49964
Prime factors of 49964 are 2, 12491. Prime factorization of 49964 in exponential form is:
49964 = 22 × 124911
Now multiplying the highest exponent prime factors to calculate the LCM of 49952 and 49964.
LCM(49952,49964) = 25 × 71 × 2231 × 124911
LCM(49952,49964) = 623950432
Related Least Common Multiples of 49952
- LCM of 49952 and 49956
- LCM of 49952 and 49957
- LCM of 49952 and 49958
- LCM of 49952 and 49959
- LCM of 49952 and 49960
- LCM of 49952 and 49961
- LCM of 49952 and 49962
- LCM of 49952 and 49963
- LCM of 49952 and 49964
- LCM of 49952 and 49965
- LCM of 49952 and 49966
- LCM of 49952 and 49967
- LCM of 49952 and 49968
- LCM of 49952 and 49969
- LCM of 49952 and 49970
- LCM of 49952 and 49971
- LCM of 49952 and 49972
Related Least Common Multiples of 49964
- LCM of 49964 and 49968
- LCM of 49964 and 49969
- LCM of 49964 and 49970
- LCM of 49964 and 49971
- LCM of 49964 and 49972
- LCM of 49964 and 49973
- LCM of 49964 and 49974
- LCM of 49964 and 49975
- LCM of 49964 and 49976
- LCM of 49964 and 49977
- LCM of 49964 and 49978
- LCM of 49964 and 49979
- LCM of 49964 and 49980
- LCM of 49964 and 49981
- LCM of 49964 and 49982
- LCM of 49964 and 49983
- LCM of 49964 and 49984