What is the Least Common Multiple of 35080 and 35100?

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 35080 and 35100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35080 and 35100, than apply into the LCM equation.

GCF(35080,35100) = 20
LCM(35080,35100) = ( 35080 × 35100) / 20
LCM(35080,35100) = 1231308000 / 20
LCM(35080,35100) = 61565400

Least Common Multiple (LCM) of 35080 and 35100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35080 and 35100. First we will calculate the prime factors of 35080 and 35100.

Prime Factorization of 35080

Prime Factorization of 35100

Now multiplying the highest exponent prime factors to calculate the LCM of 35080 and 35100.

LCM(35080,35100) = 2³ × 5² × 877¹ × 3³ × 13¹
LCM(35080,35100) = 61565400