What is the Least Common Multiple of 35360 and 35370?

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 35360 and 35370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35360 and 35370, than apply into the LCM equation.

GCF(35360,35370) = 10
LCM(35360,35370) = ( 35360 × 35370) / 10
LCM(35360,35370) = 1250683200 / 10
LCM(35360,35370) = 125068320

Least Common Multiple (LCM) of 35360 and 35370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35360 and 35370. First we will calculate the prime factors of 35360 and 35370.

Prime Factorization of 35360

Prime Factorization of 35370

Now multiplying the highest exponent prime factors to calculate the LCM of 35360 and 35370.

LCM(35360,35370) = 2⁵ × 5¹ × 13¹ × 17¹ × 3³ × 131¹
LCM(35360,35370) = 125068320