What is the Least Common Multiple of 45289 and 45300?

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 45289 and 45300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45289 and 45300, than apply into the LCM equation.

GCF(45289,45300) = 1
LCM(45289,45300) = ( 45289 × 45300) / 1
LCM(45289,45300) = 2051591700 / 1
LCM(45289,45300) = 2051591700

Least Common Multiple (LCM) of 45289 and 45300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45289 and 45300. First we will calculate the prime factors of 45289 and 45300.

Prime Factorization of 45289

Prime Factorization of 45300

Now multiplying the highest exponent prime factors to calculate the LCM of 45289 and 45300.

LCM(45289,45300) = 45289¹ × 2² × 3¹ × 5² × 151¹
LCM(45289,45300) = 2051591700