What is the Least Common Multiple of 7898 and 7918?

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 7898 and 7918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7898 and 7918, than apply into the LCM equation.

GCF(7898,7918) = 2
LCM(7898,7918) = ( 7898 × 7918) / 2
LCM(7898,7918) = 62536364 / 2
LCM(7898,7918) = 31268182

Least Common Multiple (LCM) of 7898 and 7918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7898 and 7918. First we will calculate the prime factors of 7898 and 7918.

Prime Factorization of 7898

Prime Factorization of 7918

Now multiplying the highest exponent prime factors to calculate the LCM of 7898 and 7918.

LCM(7898,7918) = 2¹ × 11¹ × 359¹ × 37¹ × 107¹
LCM(7898,7918) = 31268182