What is the Least Common Multiple of 87440 and 87445?

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 87440 and 87445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87440 and 87445, than apply into the LCM equation.

GCF(87440,87445) = 5
LCM(87440,87445) = ( 87440 × 87445) / 5
LCM(87440,87445) = 7646190800 / 5
LCM(87440,87445) = 1529238160

Least Common Multiple (LCM) of 87440 and 87445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87440 and 87445. First we will calculate the prime factors of 87440 and 87445.

Prime Factorization of 87440

Prime Factorization of 87445

Now multiplying the highest exponent prime factors to calculate the LCM of 87440 and 87445.

LCM(87440,87445) = 2⁴ × 5¹ × 1093¹ × 17489¹
LCM(87440,87445) = 1529238160