What is the Least Common Multiple of 35625 and 35640?

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 35625 and 35640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35625 and 35640, than apply into the LCM equation.

GCF(35625,35640) = 15
LCM(35625,35640) = ( 35625 × 35640) / 15
LCM(35625,35640) = 1269675000 / 15
LCM(35625,35640) = 84645000

Least Common Multiple (LCM) of 35625 and 35640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35625 and 35640. First we will calculate the prime factors of 35625 and 35640.

Prime Factorization of 35625

Prime Factorization of 35640

Now multiplying the highest exponent prime factors to calculate the LCM of 35625 and 35640.

LCM(35625,35640) = 3⁴ × 5⁴ × 19¹ × 2³ × 11¹
LCM(35625,35640) = 84645000