What is the Least Common Multiple of 65800 and 65816?

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 65800 and 65816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65800 and 65816, than apply into the LCM equation.

GCF(65800,65816) = 8
LCM(65800,65816) = ( 65800 × 65816) / 8
LCM(65800,65816) = 4330692800 / 8
LCM(65800,65816) = 541336600

Least Common Multiple (LCM) of 65800 and 65816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65800 and 65816. First we will calculate the prime factors of 65800 and 65816.

Prime Factorization of 65800

Prime Factorization of 65816

Now multiplying the highest exponent prime factors to calculate the LCM of 65800 and 65816.

LCM(65800,65816) = 2³ × 5² × 7¹ × 47¹ × 19¹ × 433¹
LCM(65800,65816) = 541336600