What is the Least Common Multiple of 24060 and 24070?

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 24060 and 24070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24060 and 24070, than apply into the LCM equation.

GCF(24060,24070) = 10
LCM(24060,24070) = ( 24060 × 24070) / 10
LCM(24060,24070) = 579124200 / 10
LCM(24060,24070) = 57912420

Least Common Multiple (LCM) of 24060 and 24070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24060 and 24070. First we will calculate the prime factors of 24060 and 24070.

Prime Factorization of 24060

Prime Factorization of 24070

Now multiplying the highest exponent prime factors to calculate the LCM of 24060 and 24070.

LCM(24060,24070) = 2² × 3¹ × 5¹ × 401¹ × 29¹ × 83¹
LCM(24060,24070) = 57912420