What is the Least Common Multiple of 35180 and 35190?

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 35180 and 35190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35180 and 35190, than apply into the LCM equation.

GCF(35180,35190) = 10
LCM(35180,35190) = ( 35180 × 35190) / 10
LCM(35180,35190) = 1237984200 / 10
LCM(35180,35190) = 123798420

Least Common Multiple (LCM) of 35180 and 35190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35180 and 35190. First we will calculate the prime factors of 35180 and 35190.

Prime Factorization of 35180

Prime Factorization of 35190

Now multiplying the highest exponent prime factors to calculate the LCM of 35180 and 35190.

LCM(35180,35190) = 2² × 5¹ × 1759¹ × 3² × 17¹ × 23¹
LCM(35180,35190) = 123798420