What is the Least Common Multiple of 99890 and 99905?

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 99890 and 99905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99890 and 99905, than apply into the LCM equation.

GCF(99890,99905) = 5
LCM(99890,99905) = ( 99890 × 99905) / 5
LCM(99890,99905) = 9979510450 / 5
LCM(99890,99905) = 1995902090

Least Common Multiple (LCM) of 99890 and 99905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99890 and 99905. First we will calculate the prime factors of 99890 and 99905.

Prime Factorization of 99890

Prime Factorization of 99905

Now multiplying the highest exponent prime factors to calculate the LCM of 99890 and 99905.

LCM(99890,99905) = 2¹ × 5¹ × 7¹ × 1427¹ × 13¹ × 29¹ × 53¹
LCM(99890,99905) = 1995902090