What is the Least Common Multiple of 65850 and 65855?

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 65850 and 65855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65850 and 65855, than apply into the LCM equation.

GCF(65850,65855) = 5
LCM(65850,65855) = ( 65850 × 65855) / 5
LCM(65850,65855) = 4336551750 / 5
LCM(65850,65855) = 867310350

Least Common Multiple (LCM) of 65850 and 65855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65850 and 65855. First we will calculate the prime factors of 65850 and 65855.

Prime Factorization of 65850

Prime Factorization of 65855

Now multiplying the highest exponent prime factors to calculate the LCM of 65850 and 65855.

LCM(65850,65855) = 2¹ × 3¹ × 5² × 439¹ × 13171¹
LCM(65850,65855) = 867310350