What is the Least Common Multiple of 45080 and 45098?

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 45098 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 45098, than apply into the LCM equation.

GCF(45080,45098) = 2
LCM(45080,45098) = ( 45080 × 45098) / 2
LCM(45080,45098) = 2033017840 / 2
LCM(45080,45098) = 1016508920

Least Common Multiple (LCM) of 45080 and 45098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45080 and 45098. First we will calculate the prime factors of 45080 and 45098.

Prime Factorization of 45080

Prime Factorization of 45098

Now multiplying the highest exponent prime factors to calculate the LCM of 45080 and 45098.

LCM(45080,45098) = 2³ × 5¹ × 7² × 23¹ × 22549¹
LCM(45080,45098) = 1016508920