What is the Least Common Multiple of 81393 and 81407?

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 81393 and 81407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81393 and 81407, than apply into the LCM equation.

GCF(81393,81407) = 1
LCM(81393,81407) = ( 81393 × 81407) / 1
LCM(81393,81407) = 6625959951 / 1
LCM(81393,81407) = 6625959951

Least Common Multiple (LCM) of 81393 and 81407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81393 and 81407. First we will calculate the prime factors of 81393 and 81407.

Prime Factorization of 81393

Prime Factorization of 81407

Now multiplying the highest exponent prime factors to calculate the LCM of 81393 and 81407.

LCM(81393,81407) = 3¹ × 13¹ × 2087¹ × 127¹ × 641¹
LCM(81393,81407) = 6625959951