What is the Least Common Multiple of 45156 and 45160?

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 45156 and 45160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45156 and 45160, than apply into the LCM equation.

GCF(45156,45160) = 4
LCM(45156,45160) = ( 45156 × 45160) / 4
LCM(45156,45160) = 2039244960 / 4
LCM(45156,45160) = 509811240

Least Common Multiple (LCM) of 45156 and 45160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45156 and 45160. First we will calculate the prime factors of 45156 and 45160.

Prime Factorization of 45156

Prime Factorization of 45160

Now multiplying the highest exponent prime factors to calculate the LCM of 45156 and 45160.

LCM(45156,45160) = 2³ × 3¹ × 53¹ × 71¹ × 5¹ × 1129¹
LCM(45156,45160) = 509811240