What is the Least Common Multiple of 88386 and 88390?

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 88386 and 88390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88386 and 88390, than apply into the LCM equation.

GCF(88386,88390) = 2
LCM(88386,88390) = ( 88386 × 88390) / 2
LCM(88386,88390) = 7812438540 / 2
LCM(88386,88390) = 3906219270

Least Common Multiple (LCM) of 88386 and 88390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88386 and 88390. First we will calculate the prime factors of 88386 and 88390.

Prime Factorization of 88386

Prime Factorization of 88390

Now multiplying the highest exponent prime factors to calculate the LCM of 88386 and 88390.

LCM(88386,88390) = 2¹ × 3¹ × 14731¹ × 5¹ × 8839¹
LCM(88386,88390) = 3906219270