What is the Least Common Multiple of 63681 and 63696?

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 63681 and 63696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63681 and 63696, than apply into the LCM equation.

GCF(63681,63696) = 3
LCM(63681,63696) = ( 63681 × 63696) / 3
LCM(63681,63696) = 4056224976 / 3
LCM(63681,63696) = 1352074992

Least Common Multiple (LCM) of 63681 and 63696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63681 and 63696. First we will calculate the prime factors of 63681 and 63696.

Prime Factorization of 63681

Prime Factorization of 63696

Now multiplying the highest exponent prime factors to calculate the LCM of 63681 and 63696.

LCM(63681,63696) = 3¹ × 21227¹ × 2⁴ × 1327¹
LCM(63681,63696) = 1352074992