What is the Least Common Multiple of 77908 and 77918?

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 77908 and 77918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77908 and 77918, than apply into the LCM equation.

GCF(77908,77918) = 2
LCM(77908,77918) = ( 77908 × 77918) / 2
LCM(77908,77918) = 6070435544 / 2
LCM(77908,77918) = 3035217772

Least Common Multiple (LCM) of 77908 and 77918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77908 and 77918. First we will calculate the prime factors of 77908 and 77918.

Prime Factorization of 77908

Prime Factorization of 77918

Now multiplying the highest exponent prime factors to calculate the LCM of 77908 and 77918.

LCM(77908,77918) = 2² × 19477¹ × 38959¹
LCM(77908,77918) = 3035217772