What is the Least Common Multiple of 30890 and 30895?

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 30890 and 30895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30890 and 30895, than apply into the LCM equation.

GCF(30890,30895) = 5
LCM(30890,30895) = ( 30890 × 30895) / 5
LCM(30890,30895) = 954346550 / 5
LCM(30890,30895) = 190869310

Least Common Multiple (LCM) of 30890 and 30895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30890 and 30895. First we will calculate the prime factors of 30890 and 30895.

Prime Factorization of 30890

Prime Factorization of 30895

Now multiplying the highest exponent prime factors to calculate the LCM of 30890 and 30895.

LCM(30890,30895) = 2¹ × 5¹ × 3089¹ × 37¹ × 167¹
LCM(30890,30895) = 190869310