What is the Least Common Multiple of 76596 and 76613?

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 76596 and 76613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76596 and 76613, than apply into the LCM equation.

GCF(76596,76613) = 1
LCM(76596,76613) = ( 76596 × 76613) / 1
LCM(76596,76613) = 5868249348 / 1
LCM(76596,76613) = 5868249348

Least Common Multiple (LCM) of 76596 and 76613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76596 and 76613. First we will calculate the prime factors of 76596 and 76613.

Prime Factorization of 76596

Prime Factorization of 76613

Now multiplying the highest exponent prime factors to calculate the LCM of 76596 and 76613.

LCM(76596,76613) = 2² × 3¹ × 13¹ × 491¹ × 23¹ × 3331¹
LCM(76596,76613) = 5868249348