What is the Least Common Multiple of 75110 and 75130?

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 75110 and 75130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75110 and 75130, than apply into the LCM equation.

GCF(75110,75130) = 10
LCM(75110,75130) = ( 75110 × 75130) / 10
LCM(75110,75130) = 5643014300 / 10
LCM(75110,75130) = 564301430

Least Common Multiple (LCM) of 75110 and 75130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75110 and 75130. First we will calculate the prime factors of 75110 and 75130.

Prime Factorization of 75110

Prime Factorization of 75130

Now multiplying the highest exponent prime factors to calculate the LCM of 75110 and 75130.

LCM(75110,75130) = 2¹ × 5¹ × 7¹ × 29¹ × 37¹ × 11¹ × 683¹
LCM(75110,75130) = 564301430