What is the Least Common Multiple of 98840 and 98855?

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 98840 and 98855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98840 and 98855, than apply into the LCM equation.

GCF(98840,98855) = 5
LCM(98840,98855) = ( 98840 × 98855) / 5
LCM(98840,98855) = 9770828200 / 5
LCM(98840,98855) = 1954165640

Least Common Multiple (LCM) of 98840 and 98855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98840 and 98855. First we will calculate the prime factors of 98840 and 98855.

Prime Factorization of 98840

Prime Factorization of 98855

Now multiplying the highest exponent prime factors to calculate the LCM of 98840 and 98855.

LCM(98840,98855) = 2³ × 5¹ × 7¹ × 353¹ × 17¹ × 1163¹
LCM(98840,98855) = 1954165640