What is the Least Common Multiple of 45493 and 45500?

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 45493 and 45500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45493 and 45500, than apply into the LCM equation.

GCF(45493,45500) = 7
LCM(45493,45500) = ( 45493 × 45500) / 7
LCM(45493,45500) = 2069931500 / 7
LCM(45493,45500) = 295704500

Least Common Multiple (LCM) of 45493 and 45500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45493 and 45500. First we will calculate the prime factors of 45493 and 45500.

Prime Factorization of 45493

Prime Factorization of 45500

Now multiplying the highest exponent prime factors to calculate the LCM of 45493 and 45500.

LCM(45493,45500) = 7¹ × 67¹ × 97¹ × 2² × 5³ × 13¹
LCM(45493,45500) = 295704500