What is the Least Common Multiple of 43106 and 43122?

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 43106 and 43122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43106 and 43122, than apply into the LCM equation.

GCF(43106,43122) = 2
LCM(43106,43122) = ( 43106 × 43122) / 2
LCM(43106,43122) = 1858816932 / 2
LCM(43106,43122) = 929408466

Least Common Multiple (LCM) of 43106 and 43122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43106 and 43122. First we will calculate the prime factors of 43106 and 43122.

Prime Factorization of 43106

Prime Factorization of 43122

Now multiplying the highest exponent prime factors to calculate the LCM of 43106 and 43122.

LCM(43106,43122) = 2¹ × 7¹ × 3079¹ × 3¹ × 7187¹
LCM(43106,43122) = 929408466