What is the Least Common Multiple of 93678 and 93688?

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 93678 and 93688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93678 and 93688, than apply into the LCM equation.

GCF(93678,93688) = 2
LCM(93678,93688) = ( 93678 × 93688) / 2
LCM(93678,93688) = 8776504464 / 2
LCM(93678,93688) = 4388252232

Least Common Multiple (LCM) of 93678 and 93688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93678 and 93688. First we will calculate the prime factors of 93678 and 93688.

Prime Factorization of 93678

Prime Factorization of 93688

Now multiplying the highest exponent prime factors to calculate the LCM of 93678 and 93688.

LCM(93678,93688) = 2³ × 3¹ × 13¹ × 1201¹ × 7² × 239¹
LCM(93678,93688) = 4388252232