What is the Least Common Multiple of 35385 and 35400?

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 35385 and 35400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35385 and 35400, than apply into the LCM equation.

GCF(35385,35400) = 15
LCM(35385,35400) = ( 35385 × 35400) / 15
LCM(35385,35400) = 1252629000 / 15
LCM(35385,35400) = 83508600

Least Common Multiple (LCM) of 35385 and 35400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35385 and 35400. First we will calculate the prime factors of 35385 and 35400.

Prime Factorization of 35385

Prime Factorization of 35400

Now multiplying the highest exponent prime factors to calculate the LCM of 35385 and 35400.

LCM(35385,35400) = 3¹ × 5² × 7¹ × 337¹ × 2³ × 59¹
LCM(35385,35400) = 83508600