What is the Least Common Multiple of 88200 and 88219?

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 88219 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 88219, than apply into the LCM equation.

GCF(88200,88219) = 1
LCM(88200,88219) = ( 88200 × 88219) / 1
LCM(88200,88219) = 7780915800 / 1
LCM(88200,88219) = 7780915800

Least Common Multiple (LCM) of 88200 and 88219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88200 and 88219. First we will calculate the prime factors of 88200 and 88219.

Prime Factorization of 88200

Prime Factorization of 88219

Now multiplying the highest exponent prime factors to calculate the LCM of 88200 and 88219.

LCM(88200,88219) = 2³ × 3² × 5² × 7² × 47¹ × 1877¹
LCM(88200,88219) = 7780915800