What is the Least Common Multiple of 68198 and 68211?

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 68211 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 68211, than apply into the LCM equation.

GCF(68198,68211) = 13
LCM(68198,68211) = ( 68198 × 68211) / 13
LCM(68198,68211) = 4651853778 / 13
LCM(68198,68211) = 357834906

Least Common Multiple (LCM) of 68198 and 68211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68198 and 68211. First we will calculate the prime factors of 68198 and 68211.

Prime Factorization of 68198

Prime Factorization of 68211

Now multiplying the highest exponent prime factors to calculate the LCM of 68198 and 68211.

LCM(68198,68211) = 2¹ × 13¹ × 43¹ × 61¹ × 3² × 11¹ × 53¹
LCM(68198,68211) = 357834906