What is the Least Common Multiple of 45140 and 45155?

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 45140 and 45155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45140 and 45155, than apply into the LCM equation.

GCF(45140,45155) = 5
LCM(45140,45155) = ( 45140 × 45155) / 5
LCM(45140,45155) = 2038296700 / 5
LCM(45140,45155) = 407659340

Least Common Multiple (LCM) of 45140 and 45155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45140 and 45155. First we will calculate the prime factors of 45140 and 45155.

Prime Factorization of 45140

Prime Factorization of 45155

Now multiplying the highest exponent prime factors to calculate the LCM of 45140 and 45155.

LCM(45140,45155) = 2² × 5¹ × 37¹ × 61¹ × 11¹ × 821¹
LCM(45140,45155) = 407659340