What is the Least Common Multiple of 45140 and 45152?

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 45140 and 45152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45140 and 45152, than apply into the LCM equation.

GCF(45140,45152) = 4
LCM(45140,45152) = ( 45140 × 45152) / 4
LCM(45140,45152) = 2038161280 / 4
LCM(45140,45152) = 509540320

Least Common Multiple (LCM) of 45140 and 45152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45140 and 45152. First we will calculate the prime factors of 45140 and 45152.

Prime Factorization of 45140

Prime Factorization of 45152

Now multiplying the highest exponent prime factors to calculate the LCM of 45140 and 45152.

LCM(45140,45152) = 2⁵ × 5¹ × 37¹ × 61¹ × 17¹ × 83¹
LCM(45140,45152) = 509540320