What is the Least Common Multiple of 68678 and 68694?

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 68678 and 68694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68678 and 68694, than apply into the LCM equation.

GCF(68678,68694) = 2
LCM(68678,68694) = ( 68678 × 68694) / 2
LCM(68678,68694) = 4717766532 / 2
LCM(68678,68694) = 2358883266

Least Common Multiple (LCM) of 68678 and 68694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68678 and 68694. First we will calculate the prime factors of 68678 and 68694.

Prime Factorization of 68678

Prime Factorization of 68694

Now multiplying the highest exponent prime factors to calculate the LCM of 68678 and 68694.

LCM(68678,68694) = 2¹ × 23¹ × 1493¹ × 3¹ × 107²
LCM(68678,68694) = 2358883266