What is the Least Common Multiple of 76680 and 76694?

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 76680 and 76694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76680 and 76694, than apply into the LCM equation.

GCF(76680,76694) = 2
LCM(76680,76694) = ( 76680 × 76694) / 2
LCM(76680,76694) = 5880895920 / 2
LCM(76680,76694) = 2940447960

Least Common Multiple (LCM) of 76680 and 76694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76680 and 76694. First we will calculate the prime factors of 76680 and 76694.

Prime Factorization of 76680

Prime Factorization of 76694

Now multiplying the highest exponent prime factors to calculate the LCM of 76680 and 76694.

LCM(76680,76694) = 2³ × 3³ × 5¹ × 71¹ × 31¹ × 1237¹
LCM(76680,76694) = 2940447960