What is the Least Common Multiple of 76613 and 76627?

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 76613 and 76627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76613 and 76627, than apply into the LCM equation.

GCF(76613,76627) = 1
LCM(76613,76627) = ( 76613 × 76627) / 1
LCM(76613,76627) = 5870624351 / 1
LCM(76613,76627) = 5870624351

Least Common Multiple (LCM) of 76613 and 76627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76613 and 76627. First we will calculate the prime factors of 76613 and 76627.

Prime Factorization of 76613

Prime Factorization of 76627

Now multiplying the highest exponent prime factors to calculate the LCM of 76613 and 76627.

LCM(76613,76627) = 23¹ × 3331¹ × 19¹ × 37¹ × 109¹
LCM(76613,76627) = 5870624351