What is the Least Common Multiple of 27300 and 27313?

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 27300 and 27313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27300 and 27313, than apply into the LCM equation.

GCF(27300,27313) = 13
LCM(27300,27313) = ( 27300 × 27313) / 13
LCM(27300,27313) = 745644900 / 13
LCM(27300,27313) = 57357300

Least Common Multiple (LCM) of 27300 and 27313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27300 and 27313. First we will calculate the prime factors of 27300 and 27313.

Prime Factorization of 27300

Prime Factorization of 27313

Now multiplying the highest exponent prime factors to calculate the LCM of 27300 and 27313.

LCM(27300,27313) = 2² × 3¹ × 5² × 7¹ × 13¹ × 11¹ × 191¹
LCM(27300,27313) = 57357300