What is the Least Common Multiple of 89075 and 89080?

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 89075 and 89080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89075 and 89080, than apply into the LCM equation.

GCF(89075,89080) = 5
LCM(89075,89080) = ( 89075 × 89080) / 5
LCM(89075,89080) = 7934801000 / 5
LCM(89075,89080) = 1586960200

Least Common Multiple (LCM) of 89075 and 89080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89075 and 89080. First we will calculate the prime factors of 89075 and 89080.

Prime Factorization of 89075

Prime Factorization of 89080

Now multiplying the highest exponent prime factors to calculate the LCM of 89075 and 89080.

LCM(89075,89080) = 5² × 7¹ × 509¹ × 2³ × 17¹ × 131¹
LCM(89075,89080) = 1586960200