What is the Least Common Multiple of 6060 and 6070?

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 6060 and 6070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6060 and 6070, than apply into the LCM equation.

GCF(6060,6070) = 10
LCM(6060,6070) = ( 6060 × 6070) / 10
LCM(6060,6070) = 36784200 / 10
LCM(6060,6070) = 3678420

Least Common Multiple (LCM) of 6060 and 6070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6060 and 6070. First we will calculate the prime factors of 6060 and 6070.

Prime Factorization of 6060

Prime Factorization of 6070

Now multiplying the highest exponent prime factors to calculate the LCM of 6060 and 6070.

LCM(6060,6070) = 2² × 3¹ × 5¹ × 101¹ × 607¹
LCM(6060,6070) = 3678420