What is the Least Common Multiple of 73075 and 73080?

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 73075 and 73080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73075 and 73080, than apply into the LCM equation.

GCF(73075,73080) = 5
LCM(73075,73080) = ( 73075 × 73080) / 5
LCM(73075,73080) = 5340321000 / 5
LCM(73075,73080) = 1068064200

Least Common Multiple (LCM) of 73075 and 73080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73075 and 73080. First we will calculate the prime factors of 73075 and 73080.

Prime Factorization of 73075

Prime Factorization of 73080

Now multiplying the highest exponent prime factors to calculate the LCM of 73075 and 73080.

LCM(73075,73080) = 5² × 37¹ × 79¹ × 2³ × 3² × 7¹ × 29¹
LCM(73075,73080) = 1068064200