What is the Least Common Multiple of 45744 and 45757?

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 45744 and 45757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45744 and 45757, than apply into the LCM equation.

GCF(45744,45757) = 1
LCM(45744,45757) = ( 45744 × 45757) / 1
LCM(45744,45757) = 2093108208 / 1
LCM(45744,45757) = 2093108208

Least Common Multiple (LCM) of 45744 and 45757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45744 and 45757. First we will calculate the prime factors of 45744 and 45757.

Prime Factorization of 45744

Prime Factorization of 45757

Now multiplying the highest exponent prime factors to calculate the LCM of 45744 and 45757.

LCM(45744,45757) = 2⁴ × 3¹ × 953¹ × 45757¹
LCM(45744,45757) = 2093108208