What is the Least Common Multiple of 35140 and 35145?

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 35140 and 35145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35140 and 35145, than apply into the LCM equation.

GCF(35140,35145) = 5
LCM(35140,35145) = ( 35140 × 35145) / 5
LCM(35140,35145) = 1234995300 / 5
LCM(35140,35145) = 246999060

Least Common Multiple (LCM) of 35140 and 35145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35140 and 35145. First we will calculate the prime factors of 35140 and 35145.

Prime Factorization of 35140

Prime Factorization of 35145

Now multiplying the highest exponent prime factors to calculate the LCM of 35140 and 35145.

LCM(35140,35145) = 2² × 5¹ × 7¹ × 251¹ × 3² × 11¹ × 71¹
LCM(35140,35145) = 246999060