What is the Least Common Multiple of 77198 and 77218?

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 77198 and 77218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77198 and 77218, than apply into the LCM equation.

GCF(77198,77218) = 2
LCM(77198,77218) = ( 77198 × 77218) / 2
LCM(77198,77218) = 5961075164 / 2
LCM(77198,77218) = 2980537582

Least Common Multiple (LCM) of 77198 and 77218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77198 and 77218. First we will calculate the prime factors of 77198 and 77218.

Prime Factorization of 77198

Prime Factorization of 77218

Now multiplying the highest exponent prime factors to calculate the LCM of 77198 and 77218.

LCM(77198,77218) = 2¹ × 11³ × 29¹ × 38609¹
LCM(77198,77218) = 2980537582