What is the Least Common Multiple of 16948 and 16967?

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 16948 and 16967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16948 and 16967, than apply into the LCM equation.

GCF(16948,16967) = 19
LCM(16948,16967) = ( 16948 × 16967) / 19
LCM(16948,16967) = 287556716 / 19
LCM(16948,16967) = 15134564

Least Common Multiple (LCM) of 16948 and 16967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16948 and 16967. First we will calculate the prime factors of 16948 and 16967.

Prime Factorization of 16948

Prime Factorization of 16967

Now multiplying the highest exponent prime factors to calculate the LCM of 16948 and 16967.

LCM(16948,16967) = 2² × 19² × 223¹ × 47¹
LCM(16948,16967) = 15134564