What is the Least Common Multiple of 86368 and 86380?

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 86380 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 86380, than apply into the LCM equation.

GCF(86368,86380) = 4
LCM(86368,86380) = ( 86368 × 86380) / 4
LCM(86368,86380) = 7460467840 / 4
LCM(86368,86380) = 1865116960

Least Common Multiple (LCM) of 86368 and 86380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86368 and 86380. First we will calculate the prime factors of 86368 and 86380.

Prime Factorization of 86368

Prime Factorization of 86380

Now multiplying the highest exponent prime factors to calculate the LCM of 86368 and 86380.

LCM(86368,86380) = 2⁵ × 2699¹ × 5¹ × 7¹ × 617¹
LCM(86368,86380) = 1865116960