What is the Least Common Multiple of 66480 and 66493?

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 66480 and 66493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66480 and 66493, than apply into the LCM equation.

GCF(66480,66493) = 1
LCM(66480,66493) = ( 66480 × 66493) / 1
LCM(66480,66493) = 4420454640 / 1
LCM(66480,66493) = 4420454640

Least Common Multiple (LCM) of 66480 and 66493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66480 and 66493. First we will calculate the prime factors of 66480 and 66493.

Prime Factorization of 66480

Prime Factorization of 66493

Now multiplying the highest exponent prime factors to calculate the LCM of 66480 and 66493.

LCM(66480,66493) = 2⁴ × 3¹ × 5¹ × 277¹ × 7² × 23¹ × 59¹
LCM(66480,66493) = 4420454640