What is the Least Common Multiple of 57890 and 57895?

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 57895 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 57895, than apply into the LCM equation.

GCF(57890,57895) = 5
LCM(57890,57895) = ( 57890 × 57895) / 5
LCM(57890,57895) = 3351541550 / 5
LCM(57890,57895) = 670308310

Least Common Multiple (LCM) of 57890 and 57895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57890 and 57895. First we will calculate the prime factors of 57890 and 57895.

Prime Factorization of 57890

Prime Factorization of 57895

Now multiplying the highest exponent prime factors to calculate the LCM of 57890 and 57895.

LCM(57890,57895) = 2¹ × 5¹ × 7¹ × 827¹ × 11579¹
LCM(57890,57895) = 670308310