What is the Least Common Multiple of 86744 and 86764?

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 86744 and 86764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86744 and 86764, than apply into the LCM equation.

GCF(86744,86764) = 4
LCM(86744,86764) = ( 86744 × 86764) / 4
LCM(86744,86764) = 7526256416 / 4
LCM(86744,86764) = 1881564104

Least Common Multiple (LCM) of 86744 and 86764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86744 and 86764. First we will calculate the prime factors of 86744 and 86764.

Prime Factorization of 86744

Prime Factorization of 86764

Now multiplying the highest exponent prime factors to calculate the LCM of 86744 and 86764.

LCM(86744,86764) = 2³ × 7¹ × 1549¹ × 109¹ × 199¹
LCM(86744,86764) = 1881564104