What is the Least Common Multiple of 4485 and 4494?

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 4485 and 4494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4485 and 4494, than apply into the LCM equation.

GCF(4485,4494) = 3
LCM(4485,4494) = ( 4485 × 4494) / 3
LCM(4485,4494) = 20155590 / 3
LCM(4485,4494) = 6718530

Least Common Multiple (LCM) of 4485 and 4494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4485 and 4494. First we will calculate the prime factors of 4485 and 4494.

Prime Factorization of 4485

Prime Factorization of 4494

Now multiplying the highest exponent prime factors to calculate the LCM of 4485 and 4494.

LCM(4485,4494) = 3¹ × 5¹ × 13¹ × 23¹ × 2¹ × 7¹ × 107¹
LCM(4485,4494) = 6718530