What is the Least Common Multiple of 87376 and 87385?

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 87385 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 87385, than apply into the LCM equation.

GCF(87376,87385) = 1
LCM(87376,87385) = ( 87376 × 87385) / 1
LCM(87376,87385) = 7635351760 / 1
LCM(87376,87385) = 7635351760

Least Common Multiple (LCM) of 87376 and 87385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87376 and 87385. First we will calculate the prime factors of 87376 and 87385.

Prime Factorization of 87376

Prime Factorization of 87385

Now multiplying the highest exponent prime factors to calculate the LCM of 87376 and 87385.

LCM(87376,87385) = 2⁴ × 43¹ × 127¹ × 5¹ × 17477¹
LCM(87376,87385) = 7635351760