What is the Least Common Multiple of 75080 and 75084?

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 75080 and 75084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75080 and 75084, than apply into the LCM equation.

GCF(75080,75084) = 4
LCM(75080,75084) = ( 75080 × 75084) / 4
LCM(75080,75084) = 5637306720 / 4
LCM(75080,75084) = 1409326680

Least Common Multiple (LCM) of 75080 and 75084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75080 and 75084. First we will calculate the prime factors of 75080 and 75084.

Prime Factorization of 75080

Prime Factorization of 75084

Now multiplying the highest exponent prime factors to calculate the LCM of 75080 and 75084.

LCM(75080,75084) = 2³ × 5¹ × 1877¹ × 3¹ × 6257¹
LCM(75080,75084) = 1409326680