What is the Least Common Multiple of 45155 and 45175?

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 45155 and 45175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45155 and 45175, than apply into the LCM equation.

GCF(45155,45175) = 5
LCM(45155,45175) = ( 45155 × 45175) / 5
LCM(45155,45175) = 2039877125 / 5
LCM(45155,45175) = 407975425

Least Common Multiple (LCM) of 45155 and 45175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45155 and 45175. First we will calculate the prime factors of 45155 and 45175.

Prime Factorization of 45155

Prime Factorization of 45175

Now multiplying the highest exponent prime factors to calculate the LCM of 45155 and 45175.

LCM(45155,45175) = 5² × 11¹ × 821¹ × 13¹ × 139¹
LCM(45155,45175) = 407975425