What is the Least Common Multiple of 87357 and 87376?

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 87357 and 87376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87357 and 87376, than apply into the LCM equation.

GCF(87357,87376) = 1
LCM(87357,87376) = ( 87357 × 87376) / 1
LCM(87357,87376) = 7632905232 / 1
LCM(87357,87376) = 7632905232

Least Common Multiple (LCM) of 87357 and 87376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87357 and 87376. First we will calculate the prime factors of 87357 and 87376.

Prime Factorization of 87357

Prime Factorization of 87376

Now multiplying the highest exponent prime factors to calculate the LCM of 87357 and 87376.

LCM(87357,87376) = 3¹ × 37¹ × 787¹ × 2⁴ × 43¹ × 127¹
LCM(87357,87376) = 7632905232