What is the Least Common Multiple of 45145 and 45161?

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 45145 and 45161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45145 and 45161, than apply into the LCM equation.

GCF(45145,45161) = 1
LCM(45145,45161) = ( 45145 × 45161) / 1
LCM(45145,45161) = 2038793345 / 1
LCM(45145,45161) = 2038793345

Least Common Multiple (LCM) of 45145 and 45161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45145 and 45161. First we will calculate the prime factors of 45145 and 45161.

Prime Factorization of 45145

Prime Factorization of 45161

Now multiplying the highest exponent prime factors to calculate the LCM of 45145 and 45161.

LCM(45145,45161) = 5¹ × 9029¹ × 45161¹
LCM(45145,45161) = 2038793345