What is the Least Common Multiple of 81567 and 81577?

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 81567 and 81577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81567 and 81577, than apply into the LCM equation.

GCF(81567,81577) = 1
LCM(81567,81577) = ( 81567 × 81577) / 1
LCM(81567,81577) = 6653991159 / 1
LCM(81567,81577) = 6653991159

Least Common Multiple (LCM) of 81567 and 81577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81567 and 81577. First we will calculate the prime factors of 81567 and 81577.

Prime Factorization of 81567

Prime Factorization of 81577

Now multiplying the highest exponent prime factors to calculate the LCM of 81567 and 81577.

LCM(81567,81577) = 3⁴ × 19¹ × 53¹ × 29² × 97¹
LCM(81567,81577) = 6653991159