What is the Least Common Multiple of 45480 and 45486?

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 45480 and 45486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45480 and 45486, than apply into the LCM equation.

GCF(45480,45486) = 6
LCM(45480,45486) = ( 45480 × 45486) / 6
LCM(45480,45486) = 2068703280 / 6
LCM(45480,45486) = 344783880

Least Common Multiple (LCM) of 45480 and 45486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45480 and 45486. First we will calculate the prime factors of 45480 and 45486.

Prime Factorization of 45480

Prime Factorization of 45486

Now multiplying the highest exponent prime factors to calculate the LCM of 45480 and 45486.

LCM(45480,45486) = 2³ × 3² × 5¹ × 379¹ × 7¹ × 19²
LCM(45480,45486) = 344783880