What is the Least Common Multiple of 45508 and 45518?

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 45508 and 45518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45508 and 45518, than apply into the LCM equation.

GCF(45508,45518) = 2
LCM(45508,45518) = ( 45508 × 45518) / 2
LCM(45508,45518) = 2071433144 / 2
LCM(45508,45518) = 1035716572

Least Common Multiple (LCM) of 45508 and 45518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45508 and 45518. First we will calculate the prime factors of 45508 and 45518.

Prime Factorization of 45508

Prime Factorization of 45518

Now multiplying the highest exponent prime factors to calculate the LCM of 45508 and 45518.

LCM(45508,45518) = 2² × 31¹ × 367¹ × 11¹ × 2069¹
LCM(45508,45518) = 1035716572