What is the Least Common Multiple of 45124 and 45143?

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 45124 and 45143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45124 and 45143, than apply into the LCM equation.

GCF(45124,45143) = 1
LCM(45124,45143) = ( 45124 × 45143) / 1
LCM(45124,45143) = 2037032732 / 1
LCM(45124,45143) = 2037032732

Least Common Multiple (LCM) of 45124 and 45143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45124 and 45143. First we will calculate the prime factors of 45124 and 45143.

Prime Factorization of 45124

Prime Factorization of 45143

Now multiplying the highest exponent prime factors to calculate the LCM of 45124 and 45143.

LCM(45124,45143) = 2² × 29¹ × 389¹ × 7¹ × 6449¹
LCM(45124,45143) = 2037032732