What is the Least Common Multiple of 75060 and 75080?

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 75080 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 75080, than apply into the LCM equation.

GCF(75060,75080) = 20
LCM(75060,75080) = ( 75060 × 75080) / 20
LCM(75060,75080) = 5635504800 / 20
LCM(75060,75080) = 281775240

Least Common Multiple (LCM) of 75060 and 75080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75060 and 75080. First we will calculate the prime factors of 75060 and 75080.

Prime Factorization of 75060

Prime Factorization of 75080

Now multiplying the highest exponent prime factors to calculate the LCM of 75060 and 75080.

LCM(75060,75080) = 2³ × 3³ × 5¹ × 139¹ × 1877¹
LCM(75060,75080) = 281775240