What is the Least Common Multiple of 88200 and 88220?

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 88200 and 88220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88200 and 88220, than apply into the LCM equation.

GCF(88200,88220) = 20
LCM(88200,88220) = ( 88200 × 88220) / 20
LCM(88200,88220) = 7781004000 / 20
LCM(88200,88220) = 389050200

Least Common Multiple (LCM) of 88200 and 88220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88200 and 88220. First we will calculate the prime factors of 88200 and 88220.

Prime Factorization of 88200

Prime Factorization of 88220

Now multiplying the highest exponent prime factors to calculate the LCM of 88200 and 88220.

LCM(88200,88220) = 2³ × 3² × 5² × 7² × 11¹ × 401¹
LCM(88200,88220) = 389050200