What is the Least Common Multiple of 66817 and 66823?

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 66817 and 66823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66817 and 66823, than apply into the LCM equation.

GCF(66817,66823) = 1
LCM(66817,66823) = ( 66817 × 66823) / 1
LCM(66817,66823) = 4464912391 / 1
LCM(66817,66823) = 4464912391

Least Common Multiple (LCM) of 66817 and 66823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66817 and 66823. First we will calculate the prime factors of 66817 and 66823.

Prime Factorization of 66817

Prime Factorization of 66823

Now multiplying the highest exponent prime factors to calculate the LCM of 66817 and 66823.

LCM(66817,66823) = 109¹ × 613¹ × 19¹ × 3517¹
LCM(66817,66823) = 4464912391