What is the Least Common Multiple of 93471 and 93478?

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 93471 and 93478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93471 and 93478, than apply into the LCM equation.

GCF(93471,93478) = 7
LCM(93471,93478) = ( 93471 × 93478) / 7
LCM(93471,93478) = 8737482138 / 7
LCM(93471,93478) = 1248211734

Least Common Multiple (LCM) of 93471 and 93478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93471 and 93478. First we will calculate the prime factors of 93471 and 93478.

Prime Factorization of 93471

Prime Factorization of 93478

Now multiplying the highest exponent prime factors to calculate the LCM of 93471 and 93478.

LCM(93471,93478) = 3¹ × 7¹ × 4451¹ × 2¹ × 11¹ × 607¹
LCM(93471,93478) = 1248211734