What is the Least Common Multiple of 76832 and 76850?

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 76832 and 76850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76832 and 76850, than apply into the LCM equation.

GCF(76832,76850) = 2
LCM(76832,76850) = ( 76832 × 76850) / 2
LCM(76832,76850) = 5904539200 / 2
LCM(76832,76850) = 2952269600

Least Common Multiple (LCM) of 76832 and 76850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76832 and 76850. First we will calculate the prime factors of 76832 and 76850.

Prime Factorization of 76832

Prime Factorization of 76850

Now multiplying the highest exponent prime factors to calculate the LCM of 76832 and 76850.

LCM(76832,76850) = 2⁵ × 7⁴ × 5² × 29¹ × 53¹
LCM(76832,76850) = 2952269600