What is the Least Common Multiple of 63908 and 63923?

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 63908 and 63923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63908 and 63923, than apply into the LCM equation.

GCF(63908,63923) = 1
LCM(63908,63923) = ( 63908 × 63923) / 1
LCM(63908,63923) = 4085191084 / 1
LCM(63908,63923) = 4085191084

Least Common Multiple (LCM) of 63908 and 63923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63908 and 63923. First we will calculate the prime factors of 63908 and 63923.

Prime Factorization of 63908

Prime Factorization of 63923

Now multiplying the highest exponent prime factors to calculate the LCM of 63908 and 63923.

LCM(63908,63923) = 2² × 13¹ × 1229¹ × 97¹ × 659¹
LCM(63908,63923) = 4085191084