What is the Least Common Multiple of 45420 and 45424?

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 45420 and 45424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45420 and 45424, than apply into the LCM equation.

GCF(45420,45424) = 4
LCM(45420,45424) = ( 45420 × 45424) / 4
LCM(45420,45424) = 2063158080 / 4
LCM(45420,45424) = 515789520

Least Common Multiple (LCM) of 45420 and 45424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45420 and 45424. First we will calculate the prime factors of 45420 and 45424.

Prime Factorization of 45420

Prime Factorization of 45424

Now multiplying the highest exponent prime factors to calculate the LCM of 45420 and 45424.

LCM(45420,45424) = 2⁴ × 3¹ × 5¹ × 757¹ × 17¹ × 167¹
LCM(45420,45424) = 515789520