What is the Least Common Multiple of 81535 and 81551?

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 81535 and 81551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81535 and 81551, than apply into the LCM equation.

GCF(81535,81551) = 1
LCM(81535,81551) = ( 81535 × 81551) / 1
LCM(81535,81551) = 6649260785 / 1
LCM(81535,81551) = 6649260785

Least Common Multiple (LCM) of 81535 and 81551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81535 and 81551. First we will calculate the prime factors of 81535 and 81551.

Prime Factorization of 81535

Prime Factorization of 81551

Now multiplying the highest exponent prime factors to calculate the LCM of 81535 and 81551.

LCM(81535,81551) = 5¹ × 23¹ × 709¹ × 81551¹
LCM(81535,81551) = 6649260785