What is the Least Common Multiple of 98770 and 98775?

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 98770 and 98775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98770 and 98775, than apply into the LCM equation.

GCF(98770,98775) = 5
LCM(98770,98775) = ( 98770 × 98775) / 5
LCM(98770,98775) = 9756006750 / 5
LCM(98770,98775) = 1951201350

Least Common Multiple (LCM) of 98770 and 98775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98770 and 98775. First we will calculate the prime factors of 98770 and 98775.

Prime Factorization of 98770

Prime Factorization of 98775

Now multiplying the highest exponent prime factors to calculate the LCM of 98770 and 98775.

LCM(98770,98775) = 2¹ × 5² × 7¹ × 17¹ × 83¹ × 3² × 439¹
LCM(98770,98775) = 1951201350