What is the Least Common Multiple of 64198 and 64202?

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 64198 and 64202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64198 and 64202, than apply into the LCM equation.

GCF(64198,64202) = 2
LCM(64198,64202) = ( 64198 × 64202) / 2
LCM(64198,64202) = 4121639996 / 2
LCM(64198,64202) = 2060819998

Least Common Multiple (LCM) of 64198 and 64202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64198 and 64202. First we will calculate the prime factors of 64198 and 64202.

Prime Factorization of 64198

Prime Factorization of 64202

Now multiplying the highest exponent prime factors to calculate the LCM of 64198 and 64202.

LCM(64198,64202) = 2¹ × 32099¹ × 47¹ × 683¹
LCM(64198,64202) = 2060819998