GCF and LCM Calculator Logo

What is the Least Common Multiple of 92962 and 92968?

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 92962 and 92968 is 4321245608.

LCM(92962,92968) = 4321245608

LCM Calculator and
and

Least Common Multiple of 92962 and 92968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92962 and 92968, than apply into the LCM equation.

GCF(92962,92968) = 2
LCM(92962,92968) = ( 92962 × 92968) / 2
LCM(92962,92968) = 8642491216 / 2
LCM(92962,92968) = 4321245608

Least Common Multiple (LCM) of 92962 and 92968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92962 and 92968. First we will calculate the prime factors of 92962 and 92968.

Prime Factorization of 92962

Prime factors of 92962 are 2, 53, 877. Prime factorization of 92962 in exponential form is:

92962 = 21 × 531 × 8771

Prime Factorization of 92968

Prime factors of 92968 are 2, 11621. Prime factorization of 92968 in exponential form is:

92968 = 23 × 116211

Now multiplying the highest exponent prime factors to calculate the LCM of 92962 and 92968.

LCM(92962,92968) = 23 × 531 × 8771 × 116211
LCM(92962,92968) = 4321245608