What is the Least Common Multiple of 7906 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 7906 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 7906 and 7918, than apply into the LCM equation.

GCF(7906,7918) = 2
LCM(7906,7918) = ( 7906 × 7918) / 2
LCM(7906,7918) = 62599708 / 2
LCM(7906,7918) = 31299854

Least Common Multiple (LCM) of 7906 and 7918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7918. First we will calculate the prime factors of 7906 and 7918.

Prime Factorization of 7906

Prime Factorization of 7918

Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7918.

LCM(7906,7918) = 2¹ × 59¹ × 67¹ × 37¹ × 107¹
LCM(7906,7918) = 31299854