What is the Least Common Multiple of 96445 and 96454?

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 96445 and 96454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96445 and 96454, than apply into the LCM equation.

GCF(96445,96454) = 1
LCM(96445,96454) = ( 96445 × 96454) / 1
LCM(96445,96454) = 9302506030 / 1
LCM(96445,96454) = 9302506030

Least Common Multiple (LCM) of 96445 and 96454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96445 and 96454. First we will calculate the prime factors of 96445 and 96454.

Prime Factorization of 96445

Prime Factorization of 96454

Now multiplying the highest exponent prime factors to calculate the LCM of 96445 and 96454.

LCM(96445,96454) = 5¹ × 19289¹ × 2¹ × 29¹ × 1663¹
LCM(96445,96454) = 9302506030