What is the Least Common Multiple of 63998 and 64006?

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 63998 and 64006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63998 and 64006, than apply into the LCM equation.

GCF(63998,64006) = 2
LCM(63998,64006) = ( 63998 × 64006) / 2
LCM(63998,64006) = 4096255988 / 2
LCM(63998,64006) = 2048127994

Least Common Multiple (LCM) of 63998 and 64006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63998 and 64006. First we will calculate the prime factors of 63998 and 64006.

Prime Factorization of 63998

Prime Factorization of 64006

Now multiplying the highest exponent prime factors to calculate the LCM of 63998 and 64006.

LCM(63998,64006) = 2¹ × 11¹ × 2909¹ × 32003¹
LCM(63998,64006) = 2048127994