What is the Least Common Multiple of 52734 and 52748?

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 52734 and 52748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52734 and 52748, than apply into the LCM equation.

GCF(52734,52748) = 2
LCM(52734,52748) = ( 52734 × 52748) / 2
LCM(52734,52748) = 2781613032 / 2
LCM(52734,52748) = 1390806516

Least Common Multiple (LCM) of 52734 and 52748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52734 and 52748. First we will calculate the prime factors of 52734 and 52748.

Prime Factorization of 52734

Prime Factorization of 52748

Now multiplying the highest exponent prime factors to calculate the LCM of 52734 and 52748.

LCM(52734,52748) = 2² × 3¹ × 11¹ × 17¹ × 47¹ × 13187¹
LCM(52734,52748) = 1390806516