What is the Least Common Multiple of 76674 and 76689?

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 76689 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 76689, than apply into the LCM equation.

GCF(76674,76689) = 3
LCM(76674,76689) = ( 76674 × 76689) / 3
LCM(76674,76689) = 5880052386 / 3
LCM(76674,76689) = 1960017462

Least Common Multiple (LCM) of 76674 and 76689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76674 and 76689. First we will calculate the prime factors of 76674 and 76689.

Prime Factorization of 76674

Prime Factorization of 76689

Now multiplying the highest exponent prime factors to calculate the LCM of 76674 and 76689.

LCM(76674,76689) = 2¹ × 3² × 13¹ × 983¹ × 8521¹
LCM(76674,76689) = 1960017462