What is the Least Common Multiple of 99425 and 99437?

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 99425 and 99437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99425 and 99437, than apply into the LCM equation.

GCF(99425,99437) = 1
LCM(99425,99437) = ( 99425 × 99437) / 1
LCM(99425,99437) = 9886523725 / 1
LCM(99425,99437) = 9886523725

Least Common Multiple (LCM) of 99425 and 99437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99425 and 99437. First we will calculate the prime factors of 99425 and 99437.

Prime Factorization of 99425

Prime Factorization of 99437

Now multiplying the highest exponent prime factors to calculate the LCM of 99425 and 99437.

LCM(99425,99437) = 5² × 41¹ × 97¹ × 13¹ × 7649¹
LCM(99425,99437) = 9886523725