What is the Least Common Multiple of 52716 and 52722?

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 52716 and 52722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52716 and 52722, than apply into the LCM equation.

GCF(52716,52722) = 6
LCM(52716,52722) = ( 52716 × 52722) / 6
LCM(52716,52722) = 2779292952 / 6
LCM(52716,52722) = 463215492

Least Common Multiple (LCM) of 52716 and 52722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52716 and 52722. First we will calculate the prime factors of 52716 and 52722.

Prime Factorization of 52716

Prime Factorization of 52722

Now multiplying the highest exponent prime factors to calculate the LCM of 52716 and 52722.

LCM(52716,52722) = 2² × 3² × 23¹ × 191¹ × 29¹ × 101¹
LCM(52716,52722) = 463215492