What is the Least Common Multiple of 76738 and 76748?

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 76738 and 76748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76738 and 76748, than apply into the LCM equation.

GCF(76738,76748) = 2
LCM(76738,76748) = ( 76738 × 76748) / 2
LCM(76738,76748) = 5889488024 / 2
LCM(76738,76748) = 2944744012

Least Common Multiple (LCM) of 76738 and 76748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76738 and 76748. First we will calculate the prime factors of 76738 and 76748.

Prime Factorization of 76738

Prime Factorization of 76748

Now multiplying the highest exponent prime factors to calculate the LCM of 76738 and 76748.

LCM(76738,76748) = 2² × 17¹ × 37¹ × 61¹ × 7¹ × 2741¹
LCM(76738,76748) = 2944744012