What is the Least Common Multiple of 93692 and 93698?

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 93692 and 93698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93692 and 93698, than apply into the LCM equation.

GCF(93692,93698) = 2
LCM(93692,93698) = ( 93692 × 93698) / 2
LCM(93692,93698) = 8778753016 / 2
LCM(93692,93698) = 4389376508

Least Common Multiple (LCM) of 93692 and 93698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93692 and 93698. First we will calculate the prime factors of 93692 and 93698.

Prime Factorization of 93692

Prime Factorization of 93698

Now multiplying the highest exponent prime factors to calculate the LCM of 93692 and 93698.

LCM(93692,93698) = 2² × 59¹ × 397¹ × 11¹ × 4259¹
LCM(93692,93698) = 4389376508