What is the Least Common Multiple of 60048 and 60066?

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 60048 and 60066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60048 and 60066, than apply into the LCM equation.

GCF(60048,60066) = 18
LCM(60048,60066) = ( 60048 × 60066) / 18
LCM(60048,60066) = 3606843168 / 18
LCM(60048,60066) = 200380176

Least Common Multiple (LCM) of 60048 and 60066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60048 and 60066. First we will calculate the prime factors of 60048 and 60066.

Prime Factorization of 60048

Prime Factorization of 60066

Now multiplying the highest exponent prime factors to calculate the LCM of 60048 and 60066.

LCM(60048,60066) = 2⁴ × 3³ × 139¹ × 47¹ × 71¹
LCM(60048,60066) = 200380176