What is the Least Common Multiple of 86492 and 86504?

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 86492 and 86504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86492 and 86504, than apply into the LCM equation.

GCF(86492,86504) = 4
LCM(86492,86504) = ( 86492 × 86504) / 4
LCM(86492,86504) = 7481903968 / 4
LCM(86492,86504) = 1870475992

Least Common Multiple (LCM) of 86492 and 86504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86492 and 86504. First we will calculate the prime factors of 86492 and 86504.

Prime Factorization of 86492

Prime Factorization of 86504

Now multiplying the highest exponent prime factors to calculate the LCM of 86492 and 86504.

LCM(86492,86504) = 2³ × 7¹ × 3089¹ × 11¹ × 983¹
LCM(86492,86504) = 1870475992