What is the Least Common Multiple of 10678 and 10698?

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 10698 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 10698, than apply into the LCM equation.

GCF(10678,10698) = 2
LCM(10678,10698) = ( 10678 × 10698) / 2
LCM(10678,10698) = 114233244 / 2
LCM(10678,10698) = 57116622

Least Common Multiple (LCM) of 10678 and 10698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10678 and 10698. First we will calculate the prime factors of 10678 and 10698.

Prime Factorization of 10678

Prime Factorization of 10698

Now multiplying the highest exponent prime factors to calculate the LCM of 10678 and 10698.

LCM(10678,10698) = 2¹ × 19¹ × 281¹ × 3¹ × 1783¹
LCM(10678,10698) = 57116622