What is the Least Common Multiple of 36012 and 36030?

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 36012 and 36030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36012 and 36030, than apply into the LCM equation.

GCF(36012,36030) = 6
LCM(36012,36030) = ( 36012 × 36030) / 6
LCM(36012,36030) = 1297512360 / 6
LCM(36012,36030) = 216252060

Least Common Multiple (LCM) of 36012 and 36030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36012 and 36030. First we will calculate the prime factors of 36012 and 36030.

Prime Factorization of 36012

Prime Factorization of 36030

Now multiplying the highest exponent prime factors to calculate the LCM of 36012 and 36030.

LCM(36012,36030) = 2² × 3¹ × 3001¹ × 5¹ × 1201¹
LCM(36012,36030) = 216252060