What is the Least Common Multiple of 23902 and 23918?

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 23902 and 23918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23902 and 23918, than apply into the LCM equation.

GCF(23902,23918) = 2
LCM(23902,23918) = ( 23902 × 23918) / 2
LCM(23902,23918) = 571688036 / 2
LCM(23902,23918) = 285844018

Least Common Multiple (LCM) of 23902 and 23918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23902 and 23918. First we will calculate the prime factors of 23902 and 23918.

Prime Factorization of 23902

Prime Factorization of 23918

Now multiplying the highest exponent prime factors to calculate the LCM of 23902 and 23918.

LCM(23902,23918) = 2¹ × 17¹ × 19¹ × 37¹ × 11959¹
LCM(23902,23918) = 285844018