What is the Least Common Multiple of 53744 and 53753?

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 53744 and 53753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53744 and 53753, than apply into the LCM equation.

GCF(53744,53753) = 1
LCM(53744,53753) = ( 53744 × 53753) / 1
LCM(53744,53753) = 2888901232 / 1
LCM(53744,53753) = 2888901232

Least Common Multiple (LCM) of 53744 and 53753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53744 and 53753. First we will calculate the prime factors of 53744 and 53753.

Prime Factorization of 53744

Prime Factorization of 53753

Now multiplying the highest exponent prime factors to calculate the LCM of 53744 and 53753.

LCM(53744,53753) = 2⁴ × 3359¹ × 7² × 1097¹
LCM(53744,53753) = 2888901232