What is the Least Common Multiple of 39300 and 39307?

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 39300 and 39307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39300 and 39307, than apply into the LCM equation.

GCF(39300,39307) = 1
LCM(39300,39307) = ( 39300 × 39307) / 1
LCM(39300,39307) = 1544765100 / 1
LCM(39300,39307) = 1544765100

Least Common Multiple (LCM) of 39300 and 39307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39300 and 39307. First we will calculate the prime factors of 39300 and 39307.

Prime Factorization of 39300

Prime Factorization of 39307

Now multiplying the highest exponent prime factors to calculate the LCM of 39300 and 39307.

LCM(39300,39307) = 2² × 3¹ × 5² × 131¹ × 23¹ × 1709¹
LCM(39300,39307) = 1544765100