What is the Least Common Multiple of 93532 and 93542?

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 93532 and 93542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93532 and 93542, than apply into the LCM equation.

GCF(93532,93542) = 2
LCM(93532,93542) = ( 93532 × 93542) / 2
LCM(93532,93542) = 8749170344 / 2
LCM(93532,93542) = 4374585172

Least Common Multiple (LCM) of 93532 and 93542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93532 and 93542. First we will calculate the prime factors of 93532 and 93542.

Prime Factorization of 93532

Prime Factorization of 93542

Now multiplying the highest exponent prime factors to calculate the LCM of 93532 and 93542.

LCM(93532,93542) = 2² × 67¹ × 349¹ × 46771¹
LCM(93532,93542) = 4374585172