What is the Least Common Multiple of 81704 and 81722?

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 81704 and 81722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81704 and 81722, than apply into the LCM equation.

GCF(81704,81722) = 2
LCM(81704,81722) = ( 81704 × 81722) / 2
LCM(81704,81722) = 6677014288 / 2
LCM(81704,81722) = 3338507144

Least Common Multiple (LCM) of 81704 and 81722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81704 and 81722. First we will calculate the prime factors of 81704 and 81722.

Prime Factorization of 81704

Prime Factorization of 81722

Now multiplying the highest exponent prime factors to calculate the LCM of 81704 and 81722.

LCM(81704,81722) = 2³ × 7¹ × 1459¹ × 29¹ × 1409¹
LCM(81704,81722) = 3338507144