What is the Least Common Multiple of 63684 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 63684 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 63684 and 63696, than apply into the LCM equation.

GCF(63684,63696) = 12
LCM(63684,63696) = ( 63684 × 63696) / 12
LCM(63684,63696) = 4056416064 / 12
LCM(63684,63696) = 338034672

Least Common Multiple (LCM) of 63684 and 63696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63684 and 63696. First we will calculate the prime factors of 63684 and 63696.

Prime Factorization of 63684

Prime Factorization of 63696

Now multiplying the highest exponent prime factors to calculate the LCM of 63684 and 63696.

LCM(63684,63696) = 2⁴ × 3² × 29¹ × 61¹ × 1327¹
LCM(63684,63696) = 338034672