What is the Least Common Multiple of 86374 and 86393?

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 86374 and 86393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86374 and 86393, than apply into the LCM equation.

GCF(86374,86393) = 19
LCM(86374,86393) = ( 86374 × 86393) / 19
LCM(86374,86393) = 7462108982 / 19
LCM(86374,86393) = 392742578

Least Common Multiple (LCM) of 86374 and 86393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86374 and 86393. First we will calculate the prime factors of 86374 and 86393.

Prime Factorization of 86374

Prime Factorization of 86393

Now multiplying the highest exponent prime factors to calculate the LCM of 86374 and 86393.

LCM(86374,86393) = 2¹ × 19¹ × 2273¹ × 4547¹
LCM(86374,86393) = 392742578