What is the Least Common Multiple of 63312 and 63332?

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 63312 and 63332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63312 and 63332, than apply into the LCM equation.

GCF(63312,63332) = 4
LCM(63312,63332) = ( 63312 × 63332) / 4
LCM(63312,63332) = 4009675584 / 4
LCM(63312,63332) = 1002418896

Least Common Multiple (LCM) of 63312 and 63332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63312 and 63332. First we will calculate the prime factors of 63312 and 63332.

Prime Factorization of 63312

Prime Factorization of 63332

Now multiplying the highest exponent prime factors to calculate the LCM of 63312 and 63332.

LCM(63312,63332) = 2⁴ × 3¹ × 1319¹ × 71¹ × 223¹
LCM(63312,63332) = 1002418896