What is the Least Common Multiple of 45714 and 45727?

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 45714 and 45727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45714 and 45727, than apply into the LCM equation.

GCF(45714,45727) = 1
LCM(45714,45727) = ( 45714 × 45727) / 1
LCM(45714,45727) = 2090364078 / 1
LCM(45714,45727) = 2090364078

Least Common Multiple (LCM) of 45714 and 45727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45714 and 45727. First we will calculate the prime factors of 45714 and 45727.

Prime Factorization of 45714

Prime Factorization of 45727

Now multiplying the highest exponent prime factors to calculate the LCM of 45714 and 45727.

LCM(45714,45727) = 2¹ × 3¹ × 19¹ × 401¹ × 11¹ × 4157¹
LCM(45714,45727) = 2090364078