What is the Least Common Multiple of 45734 and 45744?

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 45734 and 45744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45734 and 45744, than apply into the LCM equation.

GCF(45734,45744) = 2
LCM(45734,45744) = ( 45734 × 45744) / 2
LCM(45734,45744) = 2092056096 / 2
LCM(45734,45744) = 1046028048

Least Common Multiple (LCM) of 45734 and 45744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45734 and 45744. First we will calculate the prime factors of 45734 and 45744.

Prime Factorization of 45734

Prime Factorization of 45744

Now multiplying the highest exponent prime factors to calculate the LCM of 45734 and 45744.

LCM(45734,45744) = 2⁴ × 13¹ × 1759¹ × 3¹ × 953¹
LCM(45734,45744) = 1046028048