What is the Least Common Multiple of 84561 and 84577?

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 84561 and 84577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84561 and 84577, than apply into the LCM equation.

GCF(84561,84577) = 1
LCM(84561,84577) = ( 84561 × 84577) / 1
LCM(84561,84577) = 7151915697 / 1
LCM(84561,84577) = 7151915697

Least Common Multiple (LCM) of 84561 and 84577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84561 and 84577. First we will calculate the prime factors of 84561 and 84577.

Prime Factorization of 84561

Prime Factorization of 84577

Now multiplying the highest exponent prime factors to calculate the LCM of 84561 and 84577.

LCM(84561,84577) = 3¹ × 71¹ × 397¹ × 83¹ × 1019¹
LCM(84561,84577) = 7151915697