What is the Least Common Multiple of 75060 and 75070?

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 75060 and 75070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75060 and 75070, than apply into the LCM equation.

GCF(75060,75070) = 10
LCM(75060,75070) = ( 75060 × 75070) / 10
LCM(75060,75070) = 5634754200 / 10
LCM(75060,75070) = 563475420

Least Common Multiple (LCM) of 75060 and 75070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75060 and 75070. First we will calculate the prime factors of 75060 and 75070.

Prime Factorization of 75060

Prime Factorization of 75070

Now multiplying the highest exponent prime factors to calculate the LCM of 75060 and 75070.

LCM(75060,75070) = 2² × 3³ × 5¹ × 139¹ × 7507¹
LCM(75060,75070) = 563475420