What is the Least Common Multiple of 65835 and 65854?

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 65835 and 65854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65835 and 65854, than apply into the LCM equation.

GCF(65835,65854) = 19
LCM(65835,65854) = ( 65835 × 65854) / 19
LCM(65835,65854) = 4335498090 / 19
LCM(65835,65854) = 228184110

Least Common Multiple (LCM) of 65835 and 65854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65835 and 65854. First we will calculate the prime factors of 65835 and 65854.

Prime Factorization of 65835

Prime Factorization of 65854

Now multiplying the highest exponent prime factors to calculate the LCM of 65835 and 65854.

LCM(65835,65854) = 3² × 5¹ × 7¹ × 11¹ × 19¹ × 2¹ × 1733¹
LCM(65835,65854) = 228184110