What is the Least Common Multiple of 45101 and 45116?

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 45101 and 45116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45101 and 45116, than apply into the LCM equation.

GCF(45101,45116) = 1
LCM(45101,45116) = ( 45101 × 45116) / 1
LCM(45101,45116) = 2034776716 / 1
LCM(45101,45116) = 2034776716

Least Common Multiple (LCM) of 45101 and 45116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45101 and 45116. First we will calculate the prime factors of 45101 and 45116.

Prime Factorization of 45101

Prime Factorization of 45116

Now multiplying the highest exponent prime factors to calculate the LCM of 45101 and 45116.

LCM(45101,45116) = 7¹ × 17¹ × 379¹ × 2² × 11279¹
LCM(45101,45116) = 2034776716