What is the Least Common Multiple of 76562 and 76574?

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 76562 and 76574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76562 and 76574, than apply into the LCM equation.

GCF(76562,76574) = 2
LCM(76562,76574) = ( 76562 × 76574) / 2
LCM(76562,76574) = 5862658588 / 2
LCM(76562,76574) = 2931329294

Least Common Multiple (LCM) of 76562 and 76574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76562 and 76574. First we will calculate the prime factors of 76562 and 76574.

Prime Factorization of 76562

Prime Factorization of 76574

Now multiplying the highest exponent prime factors to calculate the LCM of 76562 and 76574.

LCM(76562,76574) = 2¹ × 38281¹ × 38287¹
LCM(76562,76574) = 2931329294