What is the Least Common Multiple of 35130 and 35142?

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 35130 and 35142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35130 and 35142, than apply into the LCM equation.

GCF(35130,35142) = 6
LCM(35130,35142) = ( 35130 × 35142) / 6
LCM(35130,35142) = 1234538460 / 6
LCM(35130,35142) = 205756410

Least Common Multiple (LCM) of 35130 and 35142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35130 and 35142. First we will calculate the prime factors of 35130 and 35142.

Prime Factorization of 35130

Prime Factorization of 35142

Now multiplying the highest exponent prime factors to calculate the LCM of 35130 and 35142.

LCM(35130,35142) = 2¹ × 3¹ × 5¹ × 1171¹ × 5857¹
LCM(35130,35142) = 205756410