What is the Least Common Multiple of 63004 and 63023?

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 63004 and 63023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63004 and 63023, than apply into the LCM equation.

GCF(63004,63023) = 19
LCM(63004,63023) = ( 63004 × 63023) / 19
LCM(63004,63023) = 3970701092 / 19
LCM(63004,63023) = 208984268

Least Common Multiple (LCM) of 63004 and 63023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63004 and 63023. First we will calculate the prime factors of 63004 and 63023.

Prime Factorization of 63004

Prime Factorization of 63023

Now multiplying the highest exponent prime factors to calculate the LCM of 63004 and 63023.

LCM(63004,63023) = 2² × 19¹ × 829¹ × 31¹ × 107¹
LCM(63004,63023) = 208984268