What is the Least Common Multiple of 87375 and 87391?

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 87375 and 87391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87375 and 87391, than apply into the LCM equation.

GCF(87375,87391) = 1
LCM(87375,87391) = ( 87375 × 87391) / 1
LCM(87375,87391) = 7635788625 / 1
LCM(87375,87391) = 7635788625

Least Common Multiple (LCM) of 87375 and 87391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87375 and 87391. First we will calculate the prime factors of 87375 and 87391.

Prime Factorization of 87375

Prime Factorization of 87391

Now multiplying the highest exponent prime factors to calculate the LCM of 87375 and 87391.

LCM(87375,87391) = 3¹ × 5³ × 233¹ × 281¹ × 311¹
LCM(87375,87391) = 7635788625