What is the Least Common Multiple of 43113 and 43127?

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 43113 and 43127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43113 and 43127, than apply into the LCM equation.

GCF(43113,43127) = 7
LCM(43113,43127) = ( 43113 × 43127) / 7
LCM(43113,43127) = 1859334351 / 7
LCM(43113,43127) = 265619193

Least Common Multiple (LCM) of 43113 and 43127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43113 and 43127. First we will calculate the prime factors of 43113 and 43127.

Prime Factorization of 43113

Prime Factorization of 43127

Now multiplying the highest exponent prime factors to calculate the LCM of 43113 and 43127.

LCM(43113,43127) = 3¹ × 7¹ × 2053¹ × 61¹ × 101¹
LCM(43113,43127) = 265619193