What is the Least Common Multiple of 47905 and 47923?

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 47905 and 47923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47905 and 47923, than apply into the LCM equation.

GCF(47905,47923) = 1
LCM(47905,47923) = ( 47905 × 47923) / 1
LCM(47905,47923) = 2295751315 / 1
LCM(47905,47923) = 2295751315

Least Common Multiple (LCM) of 47905 and 47923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47905 and 47923. First we will calculate the prime factors of 47905 and 47923.

Prime Factorization of 47905

Prime Factorization of 47923

Now multiplying the highest exponent prime factors to calculate the LCM of 47905 and 47923.

LCM(47905,47923) = 5¹ × 11¹ × 13¹ × 67¹ × 17¹ × 2819¹
LCM(47905,47923) = 2295751315