What is the Least Common Multiple of 45424 and 45444?

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 45424 and 45444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45424 and 45444, than apply into the LCM equation.

GCF(45424,45444) = 4
LCM(45424,45444) = ( 45424 × 45444) / 4
LCM(45424,45444) = 2064248256 / 4
LCM(45424,45444) = 516062064

Least Common Multiple (LCM) of 45424 and 45444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45424 and 45444. First we will calculate the prime factors of 45424 and 45444.

Prime Factorization of 45424

Prime Factorization of 45444

Now multiplying the highest exponent prime factors to calculate the LCM of 45424 and 45444.

LCM(45424,45444) = 2⁴ × 17¹ × 167¹ × 3¹ × 7¹ × 541¹
LCM(45424,45444) = 516062064