What is the Least Common Multiple of 20890 and 20895?

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 20890 and 20895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20890 and 20895, than apply into the LCM equation.

GCF(20890,20895) = 5
LCM(20890,20895) = ( 20890 × 20895) / 5
LCM(20890,20895) = 436496550 / 5
LCM(20890,20895) = 87299310

Least Common Multiple (LCM) of 20890 and 20895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20890 and 20895. First we will calculate the prime factors of 20890 and 20895.

Prime Factorization of 20890

Prime Factorization of 20895

Now multiplying the highest exponent prime factors to calculate the LCM of 20890 and 20895.

LCM(20890,20895) = 2¹ × 5¹ × 2089¹ × 3¹ × 7¹ × 199¹
LCM(20890,20895) = 87299310