What is the Least Common Multiple of 79809 and 79827?

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 79809 and 79827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79809 and 79827, than apply into the LCM equation.

GCF(79809,79827) = 3
LCM(79809,79827) = ( 79809 × 79827) / 3
LCM(79809,79827) = 6370913043 / 3
LCM(79809,79827) = 2123637681

Least Common Multiple (LCM) of 79809 and 79827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79809 and 79827. First we will calculate the prime factors of 79809 and 79827.

Prime Factorization of 79809

Prime Factorization of 79827

Now multiplying the highest exponent prime factors to calculate the LCM of 79809 and 79827.

LCM(79809,79827) = 3¹ × 37¹ × 719¹ × 11¹ × 41¹ × 59¹
LCM(79809,79827) = 2123637681