What is the Least Common Multiple of 45364 and 45368?

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 45364 and 45368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45364 and 45368, than apply into the LCM equation.

GCF(45364,45368) = 4
LCM(45364,45368) = ( 45364 × 45368) / 4
LCM(45364,45368) = 2058073952 / 4
LCM(45364,45368) = 514518488

Least Common Multiple (LCM) of 45364 and 45368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45364 and 45368. First we will calculate the prime factors of 45364 and 45368.

Prime Factorization of 45364

Prime Factorization of 45368

Now multiplying the highest exponent prime factors to calculate the LCM of 45364 and 45368.

LCM(45364,45368) = 2³ × 11¹ × 1031¹ × 53¹ × 107¹
LCM(45364,45368) = 514518488