What is the Least Common Multiple of 52716 and 52734?

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 52734 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 52734, than apply into the LCM equation.

GCF(52716,52734) = 6
LCM(52716,52734) = ( 52716 × 52734) / 6
LCM(52716,52734) = 2779925544 / 6
LCM(52716,52734) = 463320924

Least Common Multiple (LCM) of 52716 and 52734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52716 and 52734. First we will calculate the prime factors of 52716 and 52734.

Prime Factorization of 52716

Prime Factorization of 52734

Now multiplying the highest exponent prime factors to calculate the LCM of 52716 and 52734.

LCM(52716,52734) = 2² × 3¹ × 23¹ × 191¹ × 11¹ × 17¹ × 47¹
LCM(52716,52734) = 463320924