What is the Least Common Multiple of 45684 and 45694?

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 45684 and 45694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45684 and 45694, than apply into the LCM equation.

GCF(45684,45694) = 2
LCM(45684,45694) = ( 45684 × 45694) / 2
LCM(45684,45694) = 2087484696 / 2
LCM(45684,45694) = 1043742348

Least Common Multiple (LCM) of 45684 and 45694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45684 and 45694. First we will calculate the prime factors of 45684 and 45694.

Prime Factorization of 45684

Prime Factorization of 45694

Now multiplying the highest exponent prime factors to calculate the LCM of 45684 and 45694.

LCM(45684,45694) = 2² × 3⁵ × 47¹ × 11¹ × 31¹ × 67¹
LCM(45684,45694) = 1043742348