What is the Least Common Multiple of 87990 and 88005?

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 87990 and 88005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87990 and 88005, than apply into the LCM equation.

GCF(87990,88005) = 15
LCM(87990,88005) = ( 87990 × 88005) / 15
LCM(87990,88005) = 7743559950 / 15
LCM(87990,88005) = 516237330

Least Common Multiple (LCM) of 87990 and 88005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87990 and 88005. First we will calculate the prime factors of 87990 and 88005.

Prime Factorization of 87990

Prime Factorization of 88005

Now multiplying the highest exponent prime factors to calculate the LCM of 87990 and 88005.

LCM(87990,88005) = 2¹ × 3¹ × 5¹ × 7¹ × 419¹ × 5867¹
LCM(87990,88005) = 516237330