What is the Least Common Multiple of 43809 and 43821?

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 43809 and 43821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43809 and 43821, than apply into the LCM equation.

GCF(43809,43821) = 3
LCM(43809,43821) = ( 43809 × 43821) / 3
LCM(43809,43821) = 1919754189 / 3
LCM(43809,43821) = 639918063

Least Common Multiple (LCM) of 43809 and 43821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43809 and 43821. First we will calculate the prime factors of 43809 and 43821.

Prime Factorization of 43809

Prime Factorization of 43821

Now multiplying the highest exponent prime factors to calculate the LCM of 43809 and 43821.

LCM(43809,43821) = 3⁴ × 17¹ × 859¹ × 541¹
LCM(43809,43821) = 639918063