What is the Least Common Multiple of 67012 and 67030?

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 67012 and 67030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67012 and 67030, than apply into the LCM equation.

GCF(67012,67030) = 2
LCM(67012,67030) = ( 67012 × 67030) / 2
LCM(67012,67030) = 4491814360 / 2
LCM(67012,67030) = 2245907180

Least Common Multiple (LCM) of 67012 and 67030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67012 and 67030. First we will calculate the prime factors of 67012 and 67030.

Prime Factorization of 67012

Prime Factorization of 67030

Now multiplying the highest exponent prime factors to calculate the LCM of 67012 and 67030.

LCM(67012,67030) = 2² × 11¹ × 1523¹ × 5¹ × 6703¹
LCM(67012,67030) = 2245907180