What is the Least Common Multiple of 68012 and 68030?

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 68012 and 68030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68012 and 68030, than apply into the LCM equation.

GCF(68012,68030) = 2
LCM(68012,68030) = ( 68012 × 68030) / 2
LCM(68012,68030) = 4626856360 / 2
LCM(68012,68030) = 2313428180

Least Common Multiple (LCM) of 68012 and 68030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68012 and 68030. First we will calculate the prime factors of 68012 and 68030.

Prime Factorization of 68012

Prime Factorization of 68030

Now multiplying the highest exponent prime factors to calculate the LCM of 68012 and 68030.

LCM(68012,68030) = 2² × 7² × 347¹ × 5¹ × 6803¹
LCM(68012,68030) = 2313428180