What is the Least Common Multiple of 40300 and 40313?

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 40300 and 40313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40300 and 40313, than apply into the LCM equation.

GCF(40300,40313) = 13
LCM(40300,40313) = ( 40300 × 40313) / 13
LCM(40300,40313) = 1624613900 / 13
LCM(40300,40313) = 124970300

Least Common Multiple (LCM) of 40300 and 40313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40300 and 40313. First we will calculate the prime factors of 40300 and 40313.

Prime Factorization of 40300

Prime Factorization of 40313

Now multiplying the highest exponent prime factors to calculate the LCM of 40300 and 40313.

LCM(40300,40313) = 2² × 5² × 13¹ × 31¹ × 7¹ × 443¹
LCM(40300,40313) = 124970300