What is the Least Common Multiple of 81952 and 81958?

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 81952 and 81958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81952 and 81958, than apply into the LCM equation.

GCF(81952,81958) = 2
LCM(81952,81958) = ( 81952 × 81958) / 2
LCM(81952,81958) = 6716622016 / 2
LCM(81952,81958) = 3358311008

Least Common Multiple (LCM) of 81952 and 81958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81952 and 81958. First we will calculate the prime factors of 81952 and 81958.

Prime Factorization of 81952

Prime Factorization of 81958

Now multiplying the highest exponent prime factors to calculate the LCM of 81952 and 81958.

LCM(81952,81958) = 2⁵ × 13¹ × 197¹ × 43¹ × 953¹
LCM(81952,81958) = 3358311008