What is the Least Common Multiple of 86772 and 86792?

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 86772 and 86792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86772 and 86792, than apply into the LCM equation.

GCF(86772,86792) = 4
LCM(86772,86792) = ( 86772 × 86792) / 4
LCM(86772,86792) = 7531115424 / 4
LCM(86772,86792) = 1882778856

Least Common Multiple (LCM) of 86772 and 86792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86772 and 86792. First we will calculate the prime factors of 86772 and 86792.

Prime Factorization of 86772

Prime Factorization of 86792

Now multiplying the highest exponent prime factors to calculate the LCM of 86772 and 86792.

LCM(86772,86792) = 2³ × 3¹ × 7¹ × 1033¹ × 19¹ × 571¹
LCM(86772,86792) = 1882778856