What is the Least Common Multiple of 87376 and 87389?

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 87376 and 87389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87376 and 87389, than apply into the LCM equation.

GCF(87376,87389) = 1
LCM(87376,87389) = ( 87376 × 87389) / 1
LCM(87376,87389) = 7635701264 / 1
LCM(87376,87389) = 7635701264

Least Common Multiple (LCM) of 87376 and 87389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87376 and 87389. First we will calculate the prime factors of 87376 and 87389.

Prime Factorization of 87376

Prime Factorization of 87389

Now multiplying the highest exponent prime factors to calculate the LCM of 87376 and 87389.

LCM(87376,87389) = 2⁴ × 43¹ × 127¹ × 31¹ × 2819¹
LCM(87376,87389) = 7635701264