What is the Least Common Multiple of 35189 and 35196?

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 35189 and 35196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35189 and 35196, than apply into the LCM equation.

GCF(35189,35196) = 7
LCM(35189,35196) = ( 35189 × 35196) / 7
LCM(35189,35196) = 1238512044 / 7
LCM(35189,35196) = 176930292

Least Common Multiple (LCM) of 35189 and 35196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35189 and 35196. First we will calculate the prime factors of 35189 and 35196.

Prime Factorization of 35189

Prime Factorization of 35196

Now multiplying the highest exponent prime factors to calculate the LCM of 35189 and 35196.

LCM(35189,35196) = 7¹ × 11¹ × 457¹ × 2² × 3¹ × 419¹
LCM(35189,35196) = 176930292