What is the Least Common Multiple of 65840 and 65860?

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 65840 and 65860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65840 and 65860, than apply into the LCM equation.

GCF(65840,65860) = 20
LCM(65840,65860) = ( 65840 × 65860) / 20
LCM(65840,65860) = 4336222400 / 20
LCM(65840,65860) = 216811120

Least Common Multiple (LCM) of 65840 and 65860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65840 and 65860. First we will calculate the prime factors of 65840 and 65860.

Prime Factorization of 65840

Prime Factorization of 65860

Now multiplying the highest exponent prime factors to calculate the LCM of 65840 and 65860.

LCM(65840,65860) = 2⁴ × 5¹ × 823¹ × 37¹ × 89¹
LCM(65840,65860) = 216811120