What is the Least Common Multiple of 75140 and 75160?

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 75140 and 75160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75140 and 75160, than apply into the LCM equation.

GCF(75140,75160) = 20
LCM(75140,75160) = ( 75140 × 75160) / 20
LCM(75140,75160) = 5647522400 / 20
LCM(75140,75160) = 282376120

Least Common Multiple (LCM) of 75140 and 75160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75140 and 75160. First we will calculate the prime factors of 75140 and 75160.

Prime Factorization of 75140

Prime Factorization of 75160

Now multiplying the highest exponent prime factors to calculate the LCM of 75140 and 75160.

LCM(75140,75160) = 2³ × 5¹ × 13¹ × 17² × 1879¹
LCM(75140,75160) = 282376120