What is the Least Common Multiple of 45309 and 45318?

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 45309 and 45318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45309 and 45318, than apply into the LCM equation.

GCF(45309,45318) = 3
LCM(45309,45318) = ( 45309 × 45318) / 3
LCM(45309,45318) = 2053313262 / 3
LCM(45309,45318) = 684437754

Least Common Multiple (LCM) of 45309 and 45318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45309 and 45318. First we will calculate the prime factors of 45309 and 45318.

Prime Factorization of 45309

Prime Factorization of 45318

Now multiplying the highest exponent prime factors to calculate the LCM of 45309 and 45318.

LCM(45309,45318) = 3¹ × 11¹ × 1373¹ × 2¹ × 7¹ × 13¹ × 83¹
LCM(45309,45318) = 684437754