What is the Least Common Multiple of 57890 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 57890 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 57890 and 57897, than apply into the LCM equation.

GCF(57890,57897) = 7
LCM(57890,57897) = ( 57890 × 57897) / 7
LCM(57890,57897) = 3351657330 / 7
LCM(57890,57897) = 478808190

Least Common Multiple (LCM) of 57890 and 57897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57890 and 57897. First we will calculate the prime factors of 57890 and 57897.

Prime Factorization of 57890

Prime Factorization of 57897

Now multiplying the highest exponent prime factors to calculate the LCM of 57890 and 57897.

LCM(57890,57897) = 2¹ × 5¹ × 7¹ × 827¹ × 3² × 919¹
LCM(57890,57897) = 478808190