What is the Least Common Multiple of 19678 and 19694?

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 19678 and 19694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19678 and 19694, than apply into the LCM equation.

GCF(19678,19694) = 2
LCM(19678,19694) = ( 19678 × 19694) / 2
LCM(19678,19694) = 387538532 / 2
LCM(19678,19694) = 193769266

Least Common Multiple (LCM) of 19678 and 19694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19678 and 19694. First we will calculate the prime factors of 19678 and 19694.

Prime Factorization of 19678

Prime Factorization of 19694

Now multiplying the highest exponent prime factors to calculate the LCM of 19678 and 19694.

LCM(19678,19694) = 2¹ × 9839¹ × 43¹ × 229¹
LCM(19678,19694) = 193769266