What is the Least Common Multiple of 87209 and 87224?

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 87209 and 87224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87209 and 87224, than apply into the LCM equation.

GCF(87209,87224) = 1
LCM(87209,87224) = ( 87209 × 87224) / 1
LCM(87209,87224) = 7606717816 / 1
LCM(87209,87224) = 7606717816

Least Common Multiple (LCM) of 87209 and 87224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87209 and 87224. First we will calculate the prime factors of 87209 and 87224.

Prime Factorization of 87209

Prime Factorization of 87224

Now multiplying the highest exponent prime factors to calculate the LCM of 87209 and 87224.

LCM(87209,87224) = 37¹ × 2357¹ × 2³ × 10903¹
LCM(87209,87224) = 7606717816