What is the Least Common Multiple of 45564 and 45582?

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 45564 and 45582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45564 and 45582, than apply into the LCM equation.

GCF(45564,45582) = 6
LCM(45564,45582) = ( 45564 × 45582) / 6
LCM(45564,45582) = 2076898248 / 6
LCM(45564,45582) = 346149708

Least Common Multiple (LCM) of 45564 and 45582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45564 and 45582. First we will calculate the prime factors of 45564 and 45582.

Prime Factorization of 45564

Prime Factorization of 45582

Now multiplying the highest exponent prime factors to calculate the LCM of 45564 and 45582.

LCM(45564,45582) = 2² × 3¹ × 3797¹ × 71¹ × 107¹
LCM(45564,45582) = 346149708