What is the Least Common Multiple of 76516 and 76522?

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 76516 and 76522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76516 and 76522, than apply into the LCM equation.

GCF(76516,76522) = 2
LCM(76516,76522) = ( 76516 × 76522) / 2
LCM(76516,76522) = 5855157352 / 2
LCM(76516,76522) = 2927578676

Least Common Multiple (LCM) of 76516 and 76522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76516 and 76522. First we will calculate the prime factors of 76516 and 76522.

Prime Factorization of 76516

Prime Factorization of 76522

Now multiplying the highest exponent prime factors to calculate the LCM of 76516 and 76522.

LCM(76516,76522) = 2² × 11¹ × 37¹ × 47¹ × 38261¹
LCM(76516,76522) = 2927578676