What is the Least Common Multiple of 65856 and 65870?

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 65856 and 65870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65856 and 65870, than apply into the LCM equation.

GCF(65856,65870) = 14
LCM(65856,65870) = ( 65856 × 65870) / 14
LCM(65856,65870) = 4337934720 / 14
LCM(65856,65870) = 309852480

Least Common Multiple (LCM) of 65856 and 65870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65856 and 65870. First we will calculate the prime factors of 65856 and 65870.

Prime Factorization of 65856

Prime Factorization of 65870

Now multiplying the highest exponent prime factors to calculate the LCM of 65856 and 65870.

LCM(65856,65870) = 2⁶ × 3¹ × 7³ × 5¹ × 941¹
LCM(65856,65870) = 309852480