What is the Least Common Multiple of 87200 and 87213?

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 87200 and 87213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87200 and 87213, than apply into the LCM equation.

GCF(87200,87213) = 1
LCM(87200,87213) = ( 87200 × 87213) / 1
LCM(87200,87213) = 7604973600 / 1
LCM(87200,87213) = 7604973600

Least Common Multiple (LCM) of 87200 and 87213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87200 and 87213. First we will calculate the prime factors of 87200 and 87213.

Prime Factorization of 87200

Prime Factorization of 87213

Now multiplying the highest exponent prime factors to calculate the LCM of 87200 and 87213.

LCM(87200,87213) = 2⁵ × 5² × 109¹ × 3¹ × 7¹ × 4153¹
LCM(87200,87213) = 7604973600