What is the Least Common Multiple of 7075 and 7080?

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 7075 and 7080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7075 and 7080, than apply into the LCM equation.

GCF(7075,7080) = 5
LCM(7075,7080) = ( 7075 × 7080) / 5
LCM(7075,7080) = 50091000 / 5
LCM(7075,7080) = 10018200

Least Common Multiple (LCM) of 7075 and 7080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7075 and 7080. First we will calculate the prime factors of 7075 and 7080.

Prime Factorization of 7075

Prime Factorization of 7080

Now multiplying the highest exponent prime factors to calculate the LCM of 7075 and 7080.

LCM(7075,7080) = 5² × 283¹ × 2³ × 3¹ × 59¹
LCM(7075,7080) = 10018200