What is the Least Common Multiple of 86368 and 86376?

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 86368 and 86376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86368 and 86376, than apply into the LCM equation.

GCF(86368,86376) = 8
LCM(86368,86376) = ( 86368 × 86376) / 8
LCM(86368,86376) = 7460122368 / 8
LCM(86368,86376) = 932515296

Least Common Multiple (LCM) of 86368 and 86376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86368 and 86376. First we will calculate the prime factors of 86368 and 86376.

Prime Factorization of 86368

Prime Factorization of 86376

Now multiplying the highest exponent prime factors to calculate the LCM of 86368 and 86376.

LCM(86368,86376) = 2⁵ × 2699¹ × 3¹ × 59¹ × 61¹
LCM(86368,86376) = 932515296