What is the Least Common Multiple of 60066 and 60076?

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 60066 and 60076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60066 and 60076, than apply into the LCM equation.

GCF(60066,60076) = 2
LCM(60066,60076) = ( 60066 × 60076) / 2
LCM(60066,60076) = 3608525016 / 2
LCM(60066,60076) = 1804262508

Least Common Multiple (LCM) of 60066 and 60076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60066 and 60076. First we will calculate the prime factors of 60066 and 60076.

Prime Factorization of 60066

Prime Factorization of 60076

Now multiplying the highest exponent prime factors to calculate the LCM of 60066 and 60076.

LCM(60066,60076) = 2² × 3² × 47¹ × 71¹ × 23¹ × 653¹
LCM(60066,60076) = 1804262508