What is the Least Common Multiple of 63664 and 63679?

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 63664 and 63679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63664 and 63679, than apply into the LCM equation.

GCF(63664,63679) = 1
LCM(63664,63679) = ( 63664 × 63679) / 1
LCM(63664,63679) = 4054059856 / 1
LCM(63664,63679) = 4054059856

Least Common Multiple (LCM) of 63664 and 63679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63664 and 63679. First we will calculate the prime factors of 63664 and 63679.

Prime Factorization of 63664

Prime Factorization of 63679

Now multiplying the highest exponent prime factors to calculate the LCM of 63664 and 63679.

LCM(63664,63679) = 2⁴ × 23¹ × 173¹ × 7¹ × 11¹ × 827¹
LCM(63664,63679) = 4054059856