What is the Least Common Multiple of 93678 and 93694?

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 93694 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 93694, than apply into the LCM equation.

GCF(93678,93694) = 2
LCM(93678,93694) = ( 93678 × 93694) / 2
LCM(93678,93694) = 8777066532 / 2
LCM(93678,93694) = 4388533266

Least Common Multiple (LCM) of 93678 and 93694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93678 and 93694. First we will calculate the prime factors of 93678 and 93694.

Prime Factorization of 93678

Prime Factorization of 93694

Now multiplying the highest exponent prime factors to calculate the LCM of 93678 and 93694.

LCM(93678,93694) = 2¹ × 3¹ × 13¹ × 1201¹ × 79¹ × 593¹
LCM(93678,93694) = 4388533266