What is the Least Common Multiple of 66472 and 66482?

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 66472 and 66482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66472 and 66482, than apply into the LCM equation.

GCF(66472,66482) = 2
LCM(66472,66482) = ( 66472 × 66482) / 2
LCM(66472,66482) = 4419191504 / 2
LCM(66472,66482) = 2209595752

Least Common Multiple (LCM) of 66472 and 66482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66472 and 66482. First we will calculate the prime factors of 66472 and 66482.

Prime Factorization of 66472

Prime Factorization of 66482

Now multiplying the highest exponent prime factors to calculate the LCM of 66472 and 66482.

LCM(66472,66482) = 2³ × 7¹ × 1187¹ × 13¹ × 2557¹
LCM(66472,66482) = 2209595752