What is the Least Common Multiple of 45540 and 45558?

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 45540 and 45558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45540 and 45558, than apply into the LCM equation.

GCF(45540,45558) = 18
LCM(45540,45558) = ( 45540 × 45558) / 18
LCM(45540,45558) = 2074711320 / 18
LCM(45540,45558) = 115261740

Least Common Multiple (LCM) of 45540 and 45558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45540 and 45558. First we will calculate the prime factors of 45540 and 45558.

Prime Factorization of 45540

Prime Factorization of 45558

Now multiplying the highest exponent prime factors to calculate the LCM of 45540 and 45558.

LCM(45540,45558) = 2² × 3² × 5¹ × 11¹ × 23¹ × 2531¹
LCM(45540,45558) = 115261740