What is the Least Common Multiple of 91075 and 91080?

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 91075 and 91080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91075 and 91080, than apply into the LCM equation.

GCF(91075,91080) = 5
LCM(91075,91080) = ( 91075 × 91080) / 5
LCM(91075,91080) = 8295111000 / 5
LCM(91075,91080) = 1659022200

Least Common Multiple (LCM) of 91075 and 91080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91075 and 91080. First we will calculate the prime factors of 91075 and 91080.

Prime Factorization of 91075

Prime Factorization of 91080

Now multiplying the highest exponent prime factors to calculate the LCM of 91075 and 91080.

LCM(91075,91080) = 5² × 3643¹ × 2³ × 3² × 11¹ × 23¹
LCM(91075,91080) = 1659022200