What is the Least Common Multiple of 98000 and 98010?

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 98000 and 98010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98000 and 98010, than apply into the LCM equation.

GCF(98000,98010) = 10
LCM(98000,98010) = ( 98000 × 98010) / 10
LCM(98000,98010) = 9604980000 / 10
LCM(98000,98010) = 960498000

Least Common Multiple (LCM) of 98000 and 98010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98000 and 98010. First we will calculate the prime factors of 98000 and 98010.

Prime Factorization of 98000

Prime Factorization of 98010

Now multiplying the highest exponent prime factors to calculate the LCM of 98000 and 98010.

LCM(98000,98010) = 2⁴ × 5³ × 7² × 3⁴ × 11²
LCM(98000,98010) = 960498000