What is the Least Common Multiple of 35925 and 35940?

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 35925 and 35940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35925 and 35940, than apply into the LCM equation.

GCF(35925,35940) = 15
LCM(35925,35940) = ( 35925 × 35940) / 15
LCM(35925,35940) = 1291144500 / 15
LCM(35925,35940) = 86076300

Least Common Multiple (LCM) of 35925 and 35940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35925 and 35940. First we will calculate the prime factors of 35925 and 35940.

Prime Factorization of 35925

Prime Factorization of 35940

Now multiplying the highest exponent prime factors to calculate the LCM of 35925 and 35940.

LCM(35925,35940) = 3¹ × 5² × 479¹ × 2² × 599¹
LCM(35925,35940) = 86076300