What is the Least Common Multiple of 98000 and 98012?

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 98012 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 98012, than apply into the LCM equation.

GCF(98000,98012) = 4
LCM(98000,98012) = ( 98000 × 98012) / 4
LCM(98000,98012) = 9605176000 / 4
LCM(98000,98012) = 2401294000

Least Common Multiple (LCM) of 98000 and 98012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98000 and 98012. First we will calculate the prime factors of 98000 and 98012.

Prime Factorization of 98000

Prime Factorization of 98012

Now multiplying the highest exponent prime factors to calculate the LCM of 98000 and 98012.

LCM(98000,98012) = 2⁴ × 5³ × 7² × 107¹ × 229¹
LCM(98000,98012) = 2401294000