What is the Least Common Multiple of 98425 and 98445?

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 98425 and 98445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98425 and 98445, than apply into the LCM equation.

GCF(98425,98445) = 5
LCM(98425,98445) = ( 98425 × 98445) / 5
LCM(98425,98445) = 9689449125 / 5
LCM(98425,98445) = 1937889825

Least Common Multiple (LCM) of 98425 and 98445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98425 and 98445. First we will calculate the prime factors of 98425 and 98445.

Prime Factorization of 98425

Prime Factorization of 98445

Now multiplying the highest exponent prime factors to calculate the LCM of 98425 and 98445.

LCM(98425,98445) = 5² × 31¹ × 127¹ × 3¹ × 6563¹
LCM(98425,98445) = 1937889825