What is the Least Common Multiple of 68198 and 68204?

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 68198 and 68204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68198 and 68204, than apply into the LCM equation.

GCF(68198,68204) = 2
LCM(68198,68204) = ( 68198 × 68204) / 2
LCM(68198,68204) = 4651376392 / 2
LCM(68198,68204) = 2325688196

Least Common Multiple (LCM) of 68198 and 68204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68198 and 68204. First we will calculate the prime factors of 68198 and 68204.

Prime Factorization of 68198

Prime Factorization of 68204

Now multiplying the highest exponent prime factors to calculate the LCM of 68198 and 68204.

LCM(68198,68204) = 2² × 13¹ × 43¹ × 61¹ × 17² × 59¹
LCM(68198,68204) = 2325688196