What is the Least Common Multiple of 57740 and 57749?

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 57740 and 57749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57740 and 57749, than apply into the LCM equation.

GCF(57740,57749) = 1
LCM(57740,57749) = ( 57740 × 57749) / 1
LCM(57740,57749) = 3334427260 / 1
LCM(57740,57749) = 3334427260

Least Common Multiple (LCM) of 57740 and 57749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57740 and 57749. First we will calculate the prime factors of 57740 and 57749.

Prime Factorization of 57740

Prime Factorization of 57749

Now multiplying the highest exponent prime factors to calculate the LCM of 57740 and 57749.

LCM(57740,57749) = 2² × 5¹ × 2887¹ × 17¹ × 43¹ × 79¹
LCM(57740,57749) = 3334427260