What is the Least Common Multiple of 27300 and 27307?

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 27307 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 27307, than apply into the LCM equation.

GCF(27300,27307) = 7
LCM(27300,27307) = ( 27300 × 27307) / 7
LCM(27300,27307) = 745481100 / 7
LCM(27300,27307) = 106497300

Least Common Multiple (LCM) of 27300 and 27307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27300 and 27307. First we will calculate the prime factors of 27300 and 27307.

Prime Factorization of 27300

Prime Factorization of 27307

Now multiplying the highest exponent prime factors to calculate the LCM of 27300 and 27307.

LCM(27300,27307) = 2² × 3¹ × 5² × 7¹ × 13¹ × 47¹ × 83¹
LCM(27300,27307) = 106497300