What is the Least Common Multiple of 36075 and 36080?

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 36075 and 36080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36075 and 36080, than apply into the LCM equation.

GCF(36075,36080) = 5
LCM(36075,36080) = ( 36075 × 36080) / 5
LCM(36075,36080) = 1301586000 / 5
LCM(36075,36080) = 260317200

Least Common Multiple (LCM) of 36075 and 36080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36075 and 36080. First we will calculate the prime factors of 36075 and 36080.

Prime Factorization of 36075

Prime Factorization of 36080

Now multiplying the highest exponent prime factors to calculate the LCM of 36075 and 36080.

LCM(36075,36080) = 3¹ × 5² × 13¹ × 37¹ × 2⁴ × 11¹ × 41¹
LCM(36075,36080) = 260317200