What is the Least Common Multiple of 76675 and 76682?

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 76675 and 76682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76675 and 76682, than apply into the LCM equation.

GCF(76675,76682) = 1
LCM(76675,76682) = ( 76675 × 76682) / 1
LCM(76675,76682) = 5879592350 / 1
LCM(76675,76682) = 5879592350

Least Common Multiple (LCM) of 76675 and 76682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76675 and 76682. First we will calculate the prime factors of 76675 and 76682.

Prime Factorization of 76675

Prime Factorization of 76682

Now multiplying the highest exponent prime factors to calculate the LCM of 76675 and 76682.

LCM(76675,76682) = 5² × 3067¹ × 2¹ × 23¹ × 1667¹
LCM(76675,76682) = 5879592350