What is the Least Common Multiple of 93408 and 93420?

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 93420 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 93420, than apply into the LCM equation.

GCF(93408,93420) = 12
LCM(93408,93420) = ( 93408 × 93420) / 12
LCM(93408,93420) = 8726175360 / 12
LCM(93408,93420) = 727181280

Least Common Multiple (LCM) of 93408 and 93420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93408 and 93420. First we will calculate the prime factors of 93408 and 93420.

Prime Factorization of 93408

Prime Factorization of 93420

Now multiplying the highest exponent prime factors to calculate the LCM of 93408 and 93420.

LCM(93408,93420) = 2⁵ × 3³ × 7¹ × 139¹ × 5¹ × 173¹
LCM(93408,93420) = 727181280