What is the Least Common Multiple of 86724 and 86744?

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 86724 and 86744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86724 and 86744, than apply into the LCM equation.

GCF(86724,86744) = 4
LCM(86724,86744) = ( 86724 × 86744) / 4
LCM(86724,86744) = 7522786656 / 4
LCM(86724,86744) = 1880696664

Least Common Multiple (LCM) of 86724 and 86744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86724 and 86744. First we will calculate the prime factors of 86724 and 86744.

Prime Factorization of 86724

Prime Factorization of 86744

Now multiplying the highest exponent prime factors to calculate the LCM of 86724 and 86744.

LCM(86724,86744) = 2³ × 3³ × 11¹ × 73¹ × 7¹ × 1549¹
LCM(86724,86744) = 1880696664