What is the Least Common Multiple of 63002 and 63008?

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 63002 and 63008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63002 and 63008, than apply into the LCM equation.

GCF(63002,63008) = 2
LCM(63002,63008) = ( 63002 × 63008) / 2
LCM(63002,63008) = 3969630016 / 2
LCM(63002,63008) = 1984815008

Least Common Multiple (LCM) of 63002 and 63008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63002 and 63008. First we will calculate the prime factors of 63002 and 63008.

Prime Factorization of 63002

Prime Factorization of 63008

Now multiplying the highest exponent prime factors to calculate the LCM of 63002 and 63008.

LCM(63002,63008) = 2⁵ × 17² × 109¹ × 11¹ × 179¹
LCM(63002,63008) = 1984815008