What is the Least Common Multiple of 76672 and 76684?

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 76672 and 76684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76672 and 76684, than apply into the LCM equation.

GCF(76672,76684) = 4
LCM(76672,76684) = ( 76672 × 76684) / 4
LCM(76672,76684) = 5879515648 / 4
LCM(76672,76684) = 1469878912

Least Common Multiple (LCM) of 76672 and 76684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76672 and 76684. First we will calculate the prime factors of 76672 and 76684.

Prime Factorization of 76672

Prime Factorization of 76684

Now multiplying the highest exponent prime factors to calculate the LCM of 76672 and 76684.

LCM(76672,76684) = 2⁷ × 599¹ × 19¹ × 1009¹
LCM(76672,76684) = 1469878912