What is the Least Common Multiple of 77674 and 77682?

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 77674 and 77682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77674 and 77682, than apply into the LCM equation.

GCF(77674,77682) = 2
LCM(77674,77682) = ( 77674 × 77682) / 2
LCM(77674,77682) = 6033871668 / 2
LCM(77674,77682) = 3016935834

Least Common Multiple (LCM) of 77674 and 77682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77674 and 77682. First we will calculate the prime factors of 77674 and 77682.

Prime Factorization of 77674

Prime Factorization of 77682

Now multiplying the highest exponent prime factors to calculate the LCM of 77674 and 77682.

LCM(77674,77682) = 2¹ × 71¹ × 547¹ × 3¹ × 11² × 107¹
LCM(77674,77682) = 3016935834