GCF and LCM Calculator Logo

What is the Least Common Multiple of 74930 and 74937?

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 74930 and 74937 is 5615029410.

LCM(74930,74937) = 5615029410

LCM Calculator and
and

Least Common Multiple of 74930 and 74937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74930 and 74937, than apply into the LCM equation.

GCF(74930,74937) = 1
LCM(74930,74937) = ( 74930 × 74937) / 1
LCM(74930,74937) = 5615029410 / 1
LCM(74930,74937) = 5615029410

Least Common Multiple (LCM) of 74930 and 74937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74930 and 74937. First we will calculate the prime factors of 74930 and 74937.

Prime Factorization of 74930

Prime factors of 74930 are 2, 5, 59, 127. Prime factorization of 74930 in exponential form is:

74930 = 21 × 51 × 591 × 1271

Prime Factorization of 74937

Prime factors of 74937 are 3, 24979. Prime factorization of 74937 in exponential form is:

74937 = 31 × 249791

Now multiplying the highest exponent prime factors to calculate the LCM of 74930 and 74937.

LCM(74930,74937) = 21 × 51 × 591 × 1271 × 31 × 249791
LCM(74930,74937) = 5615029410