What is the Least Common Multiple of 63300 and 63312?

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 63300 and 63312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63300 and 63312, than apply into the LCM equation.

GCF(63300,63312) = 12
LCM(63300,63312) = ( 63300 × 63312) / 12
LCM(63300,63312) = 4007649600 / 12
LCM(63300,63312) = 333970800

Least Common Multiple (LCM) of 63300 and 63312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63300 and 63312. First we will calculate the prime factors of 63300 and 63312.

Prime Factorization of 63300

Prime Factorization of 63312

Now multiplying the highest exponent prime factors to calculate the LCM of 63300 and 63312.

LCM(63300,63312) = 2⁴ × 3¹ × 5² × 211¹ × 1319¹
LCM(63300,63312) = 333970800