What is the Least Common Multiple of 86954 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 86954 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 86954 and 86968, than apply into the LCM equation.

GCF(86954,86968) = 14
LCM(86954,86968) = ( 86954 × 86968) / 14
LCM(86954,86968) = 7562215472 / 14
LCM(86954,86968) = 540158248

Least Common Multiple (LCM) of 86954 and 86968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86954 and 86968. First we will calculate the prime factors of 86954 and 86968.

Prime Factorization of 86954

Prime Factorization of 86968

Now multiplying the highest exponent prime factors to calculate the LCM of 86954 and 86968.

LCM(86954,86968) = 2³ × 7¹ × 6211¹ × 1553¹
LCM(86954,86968) = 540158248