What is the Least Common Multiple of 76674 and 76683?

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 76674 and 76683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76674 and 76683, than apply into the LCM equation.

GCF(76674,76683) = 3
LCM(76674,76683) = ( 76674 × 76683) / 3
LCM(76674,76683) = 5879592342 / 3
LCM(76674,76683) = 1959864114

Least Common Multiple (LCM) of 76674 and 76683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76674 and 76683. First we will calculate the prime factors of 76674 and 76683.

Prime Factorization of 76674

Prime Factorization of 76683

Now multiplying the highest exponent prime factors to calculate the LCM of 76674 and 76683.

LCM(76674,76683) = 2¹ × 3¹ × 13¹ × 983¹ × 25561¹
LCM(76674,76683) = 1959864114