What is the Least Common Multiple of 93408 and 93422?

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 93408 and 93422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93408 and 93422, than apply into the LCM equation.

GCF(93408,93422) = 14
LCM(93408,93422) = ( 93408 × 93422) / 14
LCM(93408,93422) = 8726362176 / 14
LCM(93408,93422) = 623311584

Least Common Multiple (LCM) of 93408 and 93422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93408 and 93422. First we will calculate the prime factors of 93408 and 93422.

Prime Factorization of 93408

Prime Factorization of 93422

Now multiplying the highest exponent prime factors to calculate the LCM of 93408 and 93422.

LCM(93408,93422) = 2⁵ × 3¹ × 7¹ × 139¹ × 6673¹
LCM(93408,93422) = 623311584