What is the Least Common Multiple of 87936 and 87956?

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 87936 and 87956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87936 and 87956, than apply into the LCM equation.

GCF(87936,87956) = 4
LCM(87936,87956) = ( 87936 × 87956) / 4
LCM(87936,87956) = 7734498816 / 4
LCM(87936,87956) = 1933624704

Least Common Multiple (LCM) of 87936 and 87956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87936 and 87956. First we will calculate the prime factors of 87936 and 87956.

Prime Factorization of 87936

Prime Factorization of 87956

Now multiplying the highest exponent prime factors to calculate the LCM of 87936 and 87956.

LCM(87936,87956) = 2⁷ × 3¹ × 229¹ × 11¹ × 1999¹
LCM(87936,87956) = 1933624704