What is the Least Common Multiple of 45844 and 45854?

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 45844 and 45854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45844 and 45854, than apply into the LCM equation.

GCF(45844,45854) = 2
LCM(45844,45854) = ( 45844 × 45854) / 2
LCM(45844,45854) = 2102130776 / 2
LCM(45844,45854) = 1051065388

Least Common Multiple (LCM) of 45844 and 45854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45844 and 45854. First we will calculate the prime factors of 45844 and 45854.

Prime Factorization of 45844

Prime Factorization of 45854

Now multiplying the highest exponent prime factors to calculate the LCM of 45844 and 45854.

LCM(45844,45854) = 2² × 73¹ × 157¹ × 101¹ × 227¹
LCM(45844,45854) = 1051065388