What is the Least Common Multiple of 79809 and 79814?

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 79814 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 79814, than apply into the LCM equation.

GCF(79809,79814) = 1
LCM(79809,79814) = ( 79809 × 79814) / 1
LCM(79809,79814) = 6369875526 / 1
LCM(79809,79814) = 6369875526

Least Common Multiple (LCM) of 79809 and 79814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79809 and 79814. First we will calculate the prime factors of 79809 and 79814.

Prime Factorization of 79809

Prime Factorization of 79814

Now multiplying the highest exponent prime factors to calculate the LCM of 79809 and 79814.

LCM(79809,79814) = 3¹ × 37¹ × 719¹ × 2¹ × 7¹ × 5701¹
LCM(79809,79814) = 6369875526