What is the Least Common Multiple of 45220 and 45238?

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 45220 and 45238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45220 and 45238, than apply into the LCM equation.

GCF(45220,45238) = 2
LCM(45220,45238) = ( 45220 × 45238) / 2
LCM(45220,45238) = 2045662360 / 2
LCM(45220,45238) = 1022831180

Least Common Multiple (LCM) of 45220 and 45238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45220 and 45238. First we will calculate the prime factors of 45220 and 45238.

Prime Factorization of 45220

Prime Factorization of 45238

Now multiplying the highest exponent prime factors to calculate the LCM of 45220 and 45238.

LCM(45220,45238) = 2² × 5¹ × 7¹ × 17¹ × 19¹ × 22619¹
LCM(45220,45238) = 1022831180