What is the Least Common Multiple of 35140 and 35150?

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 35150 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 35150, than apply into the LCM equation.

GCF(35140,35150) = 10
LCM(35140,35150) = ( 35140 × 35150) / 10
LCM(35140,35150) = 1235171000 / 10
LCM(35140,35150) = 123517100

Least Common Multiple (LCM) of 35140 and 35150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35140 and 35150. First we will calculate the prime factors of 35140 and 35150.

Prime Factorization of 35140

Prime Factorization of 35150

Now multiplying the highest exponent prime factors to calculate the LCM of 35140 and 35150.

LCM(35140,35150) = 2² × 5² × 7¹ × 251¹ × 19¹ × 37¹
LCM(35140,35150) = 123517100