GCF and LCM Calculator Logo

What is the Least Common Multiple of 93757 and 93762?

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 93757 and 93762 is 8790843834.

LCM(93757,93762) = 8790843834

LCM Calculator and
and

Least Common Multiple of 93757 and 93762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93757 and 93762, than apply into the LCM equation.

GCF(93757,93762) = 1
LCM(93757,93762) = ( 93757 × 93762) / 1
LCM(93757,93762) = 8790843834 / 1
LCM(93757,93762) = 8790843834

Least Common Multiple (LCM) of 93757 and 93762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93757 and 93762. First we will calculate the prime factors of 93757 and 93762.

Prime Factorization of 93757

Prime factors of 93757 are 29, 53, 61. Prime factorization of 93757 in exponential form is:

93757 = 291 × 531 × 611

Prime Factorization of 93762

Prime factors of 93762 are 2, 3, 5209. Prime factorization of 93762 in exponential form is:

93762 = 21 × 32 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 93757 and 93762.

LCM(93757,93762) = 291 × 531 × 611 × 21 × 32 × 52091
LCM(93757,93762) = 8790843834