GCF and LCM Calculator Logo

What is the Least Common Multiple of 76237 and 76242?

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 76237 and 76242 is 5812461354.

LCM(76237,76242) = 5812461354

LCM Calculator and
and

Least Common Multiple of 76237 and 76242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76237 and 76242, than apply into the LCM equation.

GCF(76237,76242) = 1
LCM(76237,76242) = ( 76237 × 76242) / 1
LCM(76237,76242) = 5812461354 / 1
LCM(76237,76242) = 5812461354

Least Common Multiple (LCM) of 76237 and 76242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76237 and 76242. First we will calculate the prime factors of 76237 and 76242.

Prime Factorization of 76237

Prime factors of 76237 are 7, 10891. Prime factorization of 76237 in exponential form is:

76237 = 71 × 108911

Prime Factorization of 76242

Prime factors of 76242 are 2, 3, 97, 131. Prime factorization of 76242 in exponential form is:

76242 = 21 × 31 × 971 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 76237 and 76242.

LCM(76237,76242) = 71 × 108911 × 21 × 31 × 971 × 1311
LCM(76237,76242) = 5812461354