What is the Least Common Multiple of 43123 and 43142?

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 43123 and 43142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43123 and 43142, than apply into the LCM equation.

GCF(43123,43142) = 1
LCM(43123,43142) = ( 43123 × 43142) / 1
LCM(43123,43142) = 1860412466 / 1
LCM(43123,43142) = 1860412466

Least Common Multiple (LCM) of 43123 and 43142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43123 and 43142. First we will calculate the prime factors of 43123 and 43142.

Prime Factorization of 43123

Prime Factorization of 43142

Now multiplying the highest exponent prime factors to calculate the LCM of 43123 and 43142.

LCM(43123,43142) = 29¹ × 1487¹ × 2¹ × 11¹ × 37¹ × 53¹
LCM(43123,43142) = 1860412466