What is the Least Common Multiple of 81948 and 81967?

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 81948 and 81967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81948 and 81967, than apply into the LCM equation.

GCF(81948,81967) = 1
LCM(81948,81967) = ( 81948 × 81967) / 1
LCM(81948,81967) = 6717031716 / 1
LCM(81948,81967) = 6717031716

Least Common Multiple (LCM) of 81948 and 81967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81948 and 81967. First we will calculate the prime factors of 81948 and 81967.

Prime Factorization of 81948

Prime Factorization of 81967

Now multiplying the highest exponent prime factors to calculate the LCM of 81948 and 81967.

LCM(81948,81967) = 2² × 3¹ × 6829¹ × 81967¹
LCM(81948,81967) = 6717031716