What is the Least Common Multiple of 43386 and 43393?

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 43386 and 43393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43386 and 43393, than apply into the LCM equation.

GCF(43386,43393) = 7
LCM(43386,43393) = ( 43386 × 43393) / 7
LCM(43386,43393) = 1882648698 / 7
LCM(43386,43393) = 268949814

Least Common Multiple (LCM) of 43386 and 43393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43386 and 43393. First we will calculate the prime factors of 43386 and 43393.

Prime Factorization of 43386

Prime Factorization of 43393

Now multiplying the highest exponent prime factors to calculate the LCM of 43386 and 43393.

LCM(43386,43393) = 2¹ × 3¹ × 7¹ × 1033¹ × 6199¹
LCM(43386,43393) = 268949814