What is the Least Common Multiple of 45250 and 45265?

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 45250 and 45265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45250 and 45265, than apply into the LCM equation.

GCF(45250,45265) = 5
LCM(45250,45265) = ( 45250 × 45265) / 5
LCM(45250,45265) = 2048241250 / 5
LCM(45250,45265) = 409648250

Least Common Multiple (LCM) of 45250 and 45265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45250 and 45265. First we will calculate the prime factors of 45250 and 45265.

Prime Factorization of 45250

Prime Factorization of 45265

Now multiplying the highest exponent prime factors to calculate the LCM of 45250 and 45265.

LCM(45250,45265) = 2¹ × 5³ × 181¹ × 11¹ × 823¹
LCM(45250,45265) = 409648250