What is the Least Common Multiple of 63966 and 63984?

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 63966 and 63984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63966 and 63984, than apply into the LCM equation.

GCF(63966,63984) = 6
LCM(63966,63984) = ( 63966 × 63984) / 6
LCM(63966,63984) = 4092800544 / 6
LCM(63966,63984) = 682133424

Least Common Multiple (LCM) of 63966 and 63984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63966 and 63984. First we will calculate the prime factors of 63966 and 63984.

Prime Factorization of 63966

Prime Factorization of 63984

Now multiplying the highest exponent prime factors to calculate the LCM of 63966 and 63984.

LCM(63966,63984) = 2⁴ × 3¹ × 7¹ × 1523¹ × 31¹ × 43¹
LCM(63966,63984) = 682133424