What is the Least Common Multiple of 45614 and 45630?

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 45614 and 45630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45614 and 45630, than apply into the LCM equation.

GCF(45614,45630) = 2
LCM(45614,45630) = ( 45614 × 45630) / 2
LCM(45614,45630) = 2081366820 / 2
LCM(45614,45630) = 1040683410

Least Common Multiple (LCM) of 45614 and 45630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45614 and 45630. First we will calculate the prime factors of 45614 and 45630.

Prime Factorization of 45614

Prime Factorization of 45630

Now multiplying the highest exponent prime factors to calculate the LCM of 45614 and 45630.

LCM(45614,45630) = 2¹ × 22807¹ × 3³ × 5¹ × 13²
LCM(45614,45630) = 1040683410