What is the Least Common Multiple of 57570 and 57577?

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 57570 and 57577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57570 and 57577, than apply into the LCM equation.

GCF(57570,57577) = 1
LCM(57570,57577) = ( 57570 × 57577) / 1
LCM(57570,57577) = 3314707890 / 1
LCM(57570,57577) = 3314707890

Least Common Multiple (LCM) of 57570 and 57577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57570 and 57577. First we will calculate the prime factors of 57570 and 57577.

Prime Factorization of 57570

Prime Factorization of 57577

Now multiplying the highest exponent prime factors to calculate the LCM of 57570 and 57577.

LCM(57570,57577) = 2¹ × 3¹ × 5¹ × 19¹ × 101¹ × 13¹ × 43¹ × 103¹
LCM(57570,57577) = 3314707890