What is the Least Common Multiple of 45741 and 45749?

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 45741 and 45749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45741 and 45749, than apply into the LCM equation.

GCF(45741,45749) = 1
LCM(45741,45749) = ( 45741 × 45749) / 1
LCM(45741,45749) = 2092605009 / 1
LCM(45741,45749) = 2092605009

Least Common Multiple (LCM) of 45741 and 45749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45741 and 45749. First we will calculate the prime factors of 45741 and 45749.

Prime Factorization of 45741

Prime Factorization of 45749

Now multiplying the highest exponent prime factors to calculate the LCM of 45741 and 45749.

LCM(45741,45749) = 3¹ × 79¹ × 193¹ × 11¹ × 4159¹
LCM(45741,45749) = 2092605009