What is the Least Common Multiple of 45260 and 45272?

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 45260 and 45272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45260 and 45272, than apply into the LCM equation.

GCF(45260,45272) = 4
LCM(45260,45272) = ( 45260 × 45272) / 4
LCM(45260,45272) = 2049010720 / 4
LCM(45260,45272) = 512252680

Least Common Multiple (LCM) of 45260 and 45272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45260 and 45272. First we will calculate the prime factors of 45260 and 45272.

Prime Factorization of 45260

Prime Factorization of 45272

Now multiplying the highest exponent prime factors to calculate the LCM of 45260 and 45272.

LCM(45260,45272) = 2³ × 5¹ × 31¹ × 73¹ × 5659¹
LCM(45260,45272) = 512252680