What is the Least Common Multiple of 86962 and 86968?

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 of 86962 and 86968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86962 and 86968, than apply into the LCM equation.

GCF(86962,86968) = 2
LCM(86962,86968) = ( 86962 × 86968) / 2
LCM(86962,86968) = 7562911216 / 2
LCM(86962,86968) = 3781455608

Least Common Multiple (LCM) of 86962 and 86968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86962 and 86968. First we will calculate the prime factors of 86962 and 86968.

Prime Factorization of 86962

Prime Factorization of 86968

Now multiplying the highest exponent prime factors to calculate the LCM of 86962 and 86968.

LCM(86962,86968) = 2³ × 43481¹ × 7¹ × 1553¹
LCM(86962,86968) = 3781455608