What is the Least Common Multiple of 76724 and 76738?

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 76724 and 76738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76724 and 76738, than apply into the LCM equation.

GCF(76724,76738) = 2
LCM(76724,76738) = ( 76724 × 76738) / 2
LCM(76724,76738) = 5887646312 / 2
LCM(76724,76738) = 2943823156

Least Common Multiple (LCM) of 76724 and 76738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76724 and 76738. First we will calculate the prime factors of 76724 and 76738.

Prime Factorization of 76724

Prime Factorization of 76738

Now multiplying the highest exponent prime factors to calculate the LCM of 76724 and 76738.

LCM(76724,76738) = 2² × 19181¹ × 17¹ × 37¹ × 61¹
LCM(76724,76738) = 2943823156