What is the Least Common Multiple of 35640 and 35649?

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 35640 and 35649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35640 and 35649, than apply into the LCM equation.

GCF(35640,35649) = 9
LCM(35640,35649) = ( 35640 × 35649) / 9
LCM(35640,35649) = 1270530360 / 9
LCM(35640,35649) = 141170040

Least Common Multiple (LCM) of 35640 and 35649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35640 and 35649. First we will calculate the prime factors of 35640 and 35649.

Prime Factorization of 35640

Prime Factorization of 35649

Now multiplying the highest exponent prime factors to calculate the LCM of 35640 and 35649.

LCM(35640,35649) = 2³ × 3⁴ × 5¹ × 11¹ × 17¹ × 233¹
LCM(35640,35649) = 141170040