What is the Least Common Multiple of 86792 and 86811?

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 86792 and 86811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86792 and 86811, than apply into the LCM equation.

GCF(86792,86811) = 19
LCM(86792,86811) = ( 86792 × 86811) / 19
LCM(86792,86811) = 7534500312 / 19
LCM(86792,86811) = 396552648

Least Common Multiple (LCM) of 86792 and 86811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86792 and 86811. First we will calculate the prime factors of 86792 and 86811.

Prime Factorization of 86792

Prime Factorization of 86811

Now multiplying the highest exponent prime factors to calculate the LCM of 86792 and 86811.

LCM(86792,86811) = 2³ × 19¹ × 571¹ × 3¹ × 1523¹
LCM(86792,86811) = 396552648