What is the Least Common Multiple of 88020 and 88026?

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 88020 and 88026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88020 and 88026, than apply into the LCM equation.

GCF(88020,88026) = 6
LCM(88020,88026) = ( 88020 × 88026) / 6
LCM(88020,88026) = 7748048520 / 6
LCM(88020,88026) = 1291341420

Least Common Multiple (LCM) of 88020 and 88026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88020 and 88026. First we will calculate the prime factors of 88020 and 88026.

Prime Factorization of 88020

Prime Factorization of 88026

Now multiplying the highest exponent prime factors to calculate the LCM of 88020 and 88026.

LCM(88020,88026) = 2² × 3³ × 5¹ × 163¹ × 17¹ × 863¹
LCM(88020,88026) = 1291341420