What is the Least Common Multiple of 35196 and 35208?

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 35196 and 35208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35196 and 35208, than apply into the LCM equation.

GCF(35196,35208) = 12
LCM(35196,35208) = ( 35196 × 35208) / 12
LCM(35196,35208) = 1239180768 / 12
LCM(35196,35208) = 103265064

Least Common Multiple (LCM) of 35196 and 35208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35196 and 35208. First we will calculate the prime factors of 35196 and 35208.

Prime Factorization of 35196

Prime Factorization of 35208

Now multiplying the highest exponent prime factors to calculate the LCM of 35196 and 35208.

LCM(35196,35208) = 2³ × 3³ × 7¹ × 419¹ × 163¹
LCM(35196,35208) = 103265064