What is the Least Common Multiple of 45300 and 45313?

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 45300 and 45313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45300 and 45313, than apply into the LCM equation.

GCF(45300,45313) = 1
LCM(45300,45313) = ( 45300 × 45313) / 1
LCM(45300,45313) = 2052678900 / 1
LCM(45300,45313) = 2052678900

Least Common Multiple (LCM) of 45300 and 45313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45300 and 45313. First we will calculate the prime factors of 45300 and 45313.

Prime Factorization of 45300

Prime Factorization of 45313

Now multiplying the highest exponent prime factors to calculate the LCM of 45300 and 45313.

LCM(45300,45313) = 2² × 3¹ × 5² × 151¹ × 113¹ × 401¹
LCM(45300,45313) = 2052678900