What is the Least Common Multiple of 93435 and 93440?

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 93435 and 93440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93435 and 93440, than apply into the LCM equation.

GCF(93435,93440) = 5
LCM(93435,93440) = ( 93435 × 93440) / 5
LCM(93435,93440) = 8730566400 / 5
LCM(93435,93440) = 1746113280

Least Common Multiple (LCM) of 93435 and 93440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93435 and 93440. First we will calculate the prime factors of 93435 and 93440.

Prime Factorization of 93435

Prime Factorization of 93440

Now multiplying the highest exponent prime factors to calculate the LCM of 93435 and 93440.

LCM(93435,93440) = 3¹ × 5¹ × 6229¹ × 2⁸ × 73¹
LCM(93435,93440) = 1746113280