What is the Least Common Multiple of 45885 and 45892?

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 45885 and 45892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45885 and 45892, than apply into the LCM equation.

GCF(45885,45892) = 7
LCM(45885,45892) = ( 45885 × 45892) / 7
LCM(45885,45892) = 2105754420 / 7
LCM(45885,45892) = 300822060

Least Common Multiple (LCM) of 45885 and 45892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45885 and 45892. First we will calculate the prime factors of 45885 and 45892.

Prime Factorization of 45885

Prime Factorization of 45892

Now multiplying the highest exponent prime factors to calculate the LCM of 45885 and 45892.

LCM(45885,45892) = 3¹ × 5¹ × 7¹ × 19¹ × 23¹ × 2² × 11¹ × 149¹
LCM(45885,45892) = 300822060