What is the Least Common Multiple of 71175 and 71190?

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 71175 and 71190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71175 and 71190, than apply into the LCM equation.

GCF(71175,71190) = 15
LCM(71175,71190) = ( 71175 × 71190) / 15
LCM(71175,71190) = 5066948250 / 15
LCM(71175,71190) = 337796550

Least Common Multiple (LCM) of 71175 and 71190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71175 and 71190. First we will calculate the prime factors of 71175 and 71190.

Prime Factorization of 71175

Prime Factorization of 71190

Now multiplying the highest exponent prime factors to calculate the LCM of 71175 and 71190.

LCM(71175,71190) = 3² × 5² × 13¹ × 73¹ × 2¹ × 7¹ × 113¹
LCM(71175,71190) = 337796550