What is the Least Common Multiple of 86960 and 86966?

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 86960 and 86966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86960 and 86966, than apply into the LCM equation.

GCF(86960,86966) = 2
LCM(86960,86966) = ( 86960 × 86966) / 2
LCM(86960,86966) = 7562563360 / 2
LCM(86960,86966) = 3781281680

Least Common Multiple (LCM) of 86960 and 86966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86960 and 86966. First we will calculate the prime factors of 86960 and 86966.

Prime Factorization of 86960

Prime Factorization of 86966

Now multiplying the highest exponent prime factors to calculate the LCM of 86960 and 86966.

LCM(86960,86966) = 2⁴ × 5¹ × 1087¹ × 11¹ × 59¹ × 67¹
LCM(86960,86966) = 3781281680