What is the Least Common Multiple of 35186 and 35204?

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 35186 and 35204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35186 and 35204, than apply into the LCM equation.

GCF(35186,35204) = 2
LCM(35186,35204) = ( 35186 × 35204) / 2
LCM(35186,35204) = 1238687944 / 2
LCM(35186,35204) = 619343972

Least Common Multiple (LCM) of 35186 and 35204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35186 and 35204. First we will calculate the prime factors of 35186 and 35204.

Prime Factorization of 35186

Prime Factorization of 35204

Now multiplying the highest exponent prime factors to calculate the LCM of 35186 and 35204.

LCM(35186,35204) = 2² × 73¹ × 241¹ × 13¹ × 677¹
LCM(35186,35204) = 619343972