What is the Least Common Multiple of 45164 and 45169?

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 45164 and 45169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45164 and 45169, than apply into the LCM equation.

GCF(45164,45169) = 1
LCM(45164,45169) = ( 45164 × 45169) / 1
LCM(45164,45169) = 2040012716 / 1
LCM(45164,45169) = 2040012716

Least Common Multiple (LCM) of 45164 and 45169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45164 and 45169. First we will calculate the prime factors of 45164 and 45169.

Prime Factorization of 45164

Prime Factorization of 45169

Now multiplying the highest exponent prime factors to calculate the LCM of 45164 and 45169.

LCM(45164,45169) = 2² × 7¹ × 1613¹ × 17¹ × 2657¹
LCM(45164,45169) = 2040012716