What is the Least Common Multiple of 5676 and 5687?

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 5676 and 5687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5676 and 5687, than apply into the LCM equation.

GCF(5676,5687) = 11
LCM(5676,5687) = ( 5676 × 5687) / 11
LCM(5676,5687) = 32279412 / 11
LCM(5676,5687) = 2934492

Least Common Multiple (LCM) of 5676 and 5687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5676 and 5687. First we will calculate the prime factors of 5676 and 5687.

Prime Factorization of 5676

Prime Factorization of 5687

Now multiplying the highest exponent prime factors to calculate the LCM of 5676 and 5687.

LCM(5676,5687) = 2² × 3¹ × 11² × 43¹ × 47¹
LCM(5676,5687) = 2934492