What is the Least Common Multiple of 10678 and 10697?

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 10678 and 10697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10678 and 10697, than apply into the LCM equation.

GCF(10678,10697) = 19
LCM(10678,10697) = ( 10678 × 10697) / 19
LCM(10678,10697) = 114222566 / 19
LCM(10678,10697) = 6011714

Least Common Multiple (LCM) of 10678 and 10697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10678 and 10697. First we will calculate the prime factors of 10678 and 10697.

Prime Factorization of 10678

Prime Factorization of 10697

Now multiplying the highest exponent prime factors to calculate the LCM of 10678 and 10697.

LCM(10678,10697) = 2¹ × 19¹ × 281¹ × 563¹
LCM(10678,10697) = 6011714