What is the Least Common Multiple of 81649 and 81653?

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 81649 and 81653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81649 and 81653, than apply into the LCM equation.

GCF(81649,81653) = 1
LCM(81649,81653) = ( 81649 × 81653) / 1
LCM(81649,81653) = 6666885797 / 1
LCM(81649,81653) = 6666885797

Least Common Multiple (LCM) of 81649 and 81653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81649 and 81653. First we will calculate the prime factors of 81649 and 81653.

Prime Factorization of 81649

Prime Factorization of 81653

Now multiplying the highest exponent prime factors to calculate the LCM of 81649 and 81653.

LCM(81649,81653) = 81649¹ × 11¹ × 13¹ × 571¹
LCM(81649,81653) = 6666885797