What is the Least Common Multiple of 45130 and 45147?

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 45130 and 45147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45130 and 45147, than apply into the LCM equation.

GCF(45130,45147) = 1
LCM(45130,45147) = ( 45130 × 45147) / 1
LCM(45130,45147) = 2037484110 / 1
LCM(45130,45147) = 2037484110

Least Common Multiple (LCM) of 45130 and 45147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45130 and 45147. First we will calculate the prime factors of 45130 and 45147.

Prime Factorization of 45130

Prime Factorization of 45147

Now multiplying the highest exponent prime factors to calculate the LCM of 45130 and 45147.

LCM(45130,45147) = 2¹ × 5¹ × 4513¹ × 3¹ × 101¹ × 149¹
LCM(45130,45147) = 2037484110