What is the Least Common Multiple of 35204 and 35222?

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 35204 and 35222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35204 and 35222, than apply into the LCM equation.

GCF(35204,35222) = 2
LCM(35204,35222) = ( 35204 × 35222) / 2
LCM(35204,35222) = 1239955288 / 2
LCM(35204,35222) = 619977644

Least Common Multiple (LCM) of 35204 and 35222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35204 and 35222. First we will calculate the prime factors of 35204 and 35222.

Prime Factorization of 35204

Prime Factorization of 35222

Now multiplying the highest exponent prime factors to calculate the LCM of 35204 and 35222.

LCM(35204,35222) = 2² × 13¹ × 677¹ × 11¹ × 1601¹
LCM(35204,35222) = 619977644