What is the Least Common Multiple of 35198 and 35214?

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 35198 and 35214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35198 and 35214, than apply into the LCM equation.

GCF(35198,35214) = 2
LCM(35198,35214) = ( 35198 × 35214) / 2
LCM(35198,35214) = 1239462372 / 2
LCM(35198,35214) = 619731186

Least Common Multiple (LCM) of 35198 and 35214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35198 and 35214. First we will calculate the prime factors of 35198 and 35214.

Prime Factorization of 35198

Prime Factorization of 35214

Now multiplying the highest exponent prime factors to calculate the LCM of 35198 and 35214.

LCM(35198,35214) = 2¹ × 17599¹ × 3¹ × 5869¹
LCM(35198,35214) = 619731186