What is the Least Common Multiple of 88380 and 88386?

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 88380 and 88386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88380 and 88386, than apply into the LCM equation.

GCF(88380,88386) = 6
LCM(88380,88386) = ( 88380 × 88386) / 6
LCM(88380,88386) = 7811554680 / 6
LCM(88380,88386) = 1301925780

Least Common Multiple (LCM) of 88380 and 88386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88380 and 88386. First we will calculate the prime factors of 88380 and 88386.

Prime Factorization of 88380

Prime Factorization of 88386

Now multiplying the highest exponent prime factors to calculate the LCM of 88380 and 88386.

LCM(88380,88386) = 2² × 3² × 5¹ × 491¹ × 14731¹
LCM(88380,88386) = 1301925780