What is the Least Common Multiple of 63792 and 63812?

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 63792 and 63812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63792 and 63812, than apply into the LCM equation.

GCF(63792,63812) = 4
LCM(63792,63812) = ( 63792 × 63812) / 4
LCM(63792,63812) = 4070695104 / 4
LCM(63792,63812) = 1017673776

Least Common Multiple (LCM) of 63792 and 63812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63792 and 63812. First we will calculate the prime factors of 63792 and 63812.

Prime Factorization of 63792

Prime Factorization of 63812

Now multiplying the highest exponent prime factors to calculate the LCM of 63792 and 63812.

LCM(63792,63812) = 2⁴ × 3² × 443¹ × 7¹ × 43¹ × 53¹
LCM(63792,63812) = 1017673776