What is the Least Common Multiple of 67198 and 67212?

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 67198 and 67212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67198 and 67212, than apply into the LCM equation.

GCF(67198,67212) = 2
LCM(67198,67212) = ( 67198 × 67212) / 2
LCM(67198,67212) = 4516511976 / 2
LCM(67198,67212) = 2258255988

Least Common Multiple (LCM) of 67198 and 67212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67198 and 67212. First we will calculate the prime factors of 67198 and 67212.

Prime Factorization of 67198

Prime Factorization of 67212

Now multiplying the highest exponent prime factors to calculate the LCM of 67198 and 67212.

LCM(67198,67212) = 2² × 33599¹ × 3² × 1867¹
LCM(67198,67212) = 2258255988