What is the Least Common Multiple of 43809 and 43826?

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 43826 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 43826, than apply into the LCM equation.

GCF(43809,43826) = 17
LCM(43809,43826) = ( 43809 × 43826) / 17
LCM(43809,43826) = 1919973234 / 17
LCM(43809,43826) = 112939602

Least Common Multiple (LCM) of 43809 and 43826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43809 and 43826. First we will calculate the prime factors of 43809 and 43826.

Prime Factorization of 43809

Prime Factorization of 43826

Now multiplying the highest exponent prime factors to calculate the LCM of 43809 and 43826.

LCM(43809,43826) = 3¹ × 17¹ × 859¹ × 2¹ × 1289¹
LCM(43809,43826) = 112939602