What is the Least Common Multiple of 57892 and 57897?

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 57892 and 57897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57892 and 57897, than apply into the LCM equation.

GCF(57892,57897) = 1
LCM(57892,57897) = ( 57892 × 57897) / 1
LCM(57892,57897) = 3351773124 / 1
LCM(57892,57897) = 3351773124

Least Common Multiple (LCM) of 57892 and 57897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57892 and 57897. First we will calculate the prime factors of 57892 and 57897.

Prime Factorization of 57892

Prime Factorization of 57897

Now multiplying the highest exponent prime factors to calculate the LCM of 57892 and 57897.

LCM(57892,57897) = 2² × 41¹ × 353¹ × 3² × 7¹ × 919¹
LCM(57892,57897) = 3351773124