What is the Least Common Multiple of 71559 and 71577?

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 71559 and 71577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71559 and 71577, than apply into the LCM equation.

GCF(71559,71577) = 9
LCM(71559,71577) = ( 71559 × 71577) / 9
LCM(71559,71577) = 5121978543 / 9
LCM(71559,71577) = 569108727

Least Common Multiple (LCM) of 71559 and 71577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71559 and 71577. First we will calculate the prime factors of 71559 and 71577.

Prime Factorization of 71559

Prime Factorization of 71577

Now multiplying the highest exponent prime factors to calculate the LCM of 71559 and 71577.

LCM(71559,71577) = 3³ × 7951¹ × 11¹ × 241¹
LCM(71559,71577) = 569108727