What is the Least Common Multiple of 48890 and 48895?

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 48890 and 48895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48890 and 48895, than apply into the LCM equation.

GCF(48890,48895) = 5
LCM(48890,48895) = ( 48890 × 48895) / 5
LCM(48890,48895) = 2390476550 / 5
LCM(48890,48895) = 478095310

Least Common Multiple (LCM) of 48890 and 48895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48890 and 48895. First we will calculate the prime factors of 48890 and 48895.

Prime Factorization of 48890

Prime Factorization of 48895

Now multiplying the highest exponent prime factors to calculate the LCM of 48890 and 48895.

LCM(48890,48895) = 2¹ × 5¹ × 4889¹ × 7¹ × 11¹ × 127¹
LCM(48890,48895) = 478095310