What is the Least Common Multiple of 45080 and 45097?

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 45080 and 45097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45080 and 45097, than apply into the LCM equation.

GCF(45080,45097) = 1
LCM(45080,45097) = ( 45080 × 45097) / 1
LCM(45080,45097) = 2032972760 / 1
LCM(45080,45097) = 2032972760

Least Common Multiple (LCM) of 45080 and 45097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45080 and 45097. First we will calculate the prime factors of 45080 and 45097.

Prime Factorization of 45080

Prime Factorization of 45097

Now multiplying the highest exponent prime factors to calculate the LCM of 45080 and 45097.

LCM(45080,45097) = 2³ × 5¹ × 7² × 23¹ × 13¹ × 3469¹
LCM(45080,45097) = 2032972760