What is the Least Common Multiple of 35184 and 35202?

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 35184 and 35202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35184 and 35202, than apply into the LCM equation.

GCF(35184,35202) = 6
LCM(35184,35202) = ( 35184 × 35202) / 6
LCM(35184,35202) = 1238547168 / 6
LCM(35184,35202) = 206424528

Least Common Multiple (LCM) of 35184 and 35202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35184 and 35202. First we will calculate the prime factors of 35184 and 35202.

Prime Factorization of 35184

Prime Factorization of 35202

Now multiplying the highest exponent prime factors to calculate the LCM of 35184 and 35202.

LCM(35184,35202) = 2⁴ × 3¹ × 733¹ × 5867¹
LCM(35184,35202) = 206424528