What is the Least Common Multiple of 49835 and 49839?
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 49835 and 49839 is 2483726565.
LCM(49835,49839) = 2483726565
Least Common Multiple of 49835 and 49839 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49835 and 49839, than apply into the LCM equation.
GCF(49835,49839) = 1
LCM(49835,49839) = ( 49835 × 49839) / 1
LCM(49835,49839) = 2483726565 / 1
LCM(49835,49839) = 2483726565
Least Common Multiple (LCM) of 49835 and 49839 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49835 and 49839. First we will calculate the prime factors of 49835 and 49839.
Prime Factorization of 49835
Prime factors of 49835 are 5, 9967. Prime factorization of 49835 in exponential form is:
49835 = 51 × 99671
Prime Factorization of 49839
Prime factors of 49839 are 3, 37, 449. Prime factorization of 49839 in exponential form is:
49839 = 31 × 371 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 49835 and 49839.
LCM(49835,49839) = 51 × 99671 × 31 × 371 × 4491
LCM(49835,49839) = 2483726565
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Related Least Common Multiples of 49839
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