What is the Least Common Multiple of 93569 and 93577?

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 93569 and 93577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93569 and 93577, than apply into the LCM equation.

GCF(93569,93577) = 1
LCM(93569,93577) = ( 93569 × 93577) / 1
LCM(93569,93577) = 8755906313 / 1
LCM(93569,93577) = 8755906313

Least Common Multiple (LCM) of 93569 and 93577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93569 and 93577. First we will calculate the prime factors of 93569 and 93577.

Prime Factorization of 93569

Prime Factorization of 93577

Now multiplying the highest exponent prime factors to calculate the LCM of 93569 and 93577.

LCM(93569,93577) = 7¹ × 13367¹ × 11¹ × 47¹ × 181¹
LCM(93569,93577) = 8755906313