What is the Least Common Multiple of 66480 and 66490?

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 66490 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 66490, than apply into the LCM equation.

GCF(66480,66490) = 10
LCM(66480,66490) = ( 66480 × 66490) / 10
LCM(66480,66490) = 4420255200 / 10
LCM(66480,66490) = 442025520

Least Common Multiple (LCM) of 66480 and 66490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66480 and 66490. First we will calculate the prime factors of 66480 and 66490.

Prime Factorization of 66480

Prime Factorization of 66490

Now multiplying the highest exponent prime factors to calculate the LCM of 66480 and 66490.

LCM(66480,66490) = 2⁴ × 3¹ × 5¹ × 277¹ × 61¹ × 109¹
LCM(66480,66490) = 442025520