What is the Least Common Multiple of 98609 and 98625?

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 98609 and 98625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98609 and 98625, than apply into the LCM equation.

GCF(98609,98625) = 1
LCM(98609,98625) = ( 98609 × 98625) / 1
LCM(98609,98625) = 9725312625 / 1
LCM(98609,98625) = 9725312625

Least Common Multiple (LCM) of 98609 and 98625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98609 and 98625. First we will calculate the prime factors of 98609 and 98625.

Prime Factorization of 98609

Prime Factorization of 98625

Now multiplying the highest exponent prime factors to calculate the LCM of 98609 and 98625.

LCM(98609,98625) = 7¹ × 14087¹ × 3¹ × 5³ × 263¹
LCM(98609,98625) = 9725312625