GCF and LCM Calculator Logo

What is the Least Common Multiple of 94448 and 94454?

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 (LCM) of 94448 and 94454 is 4460495696.

LCM(94448,94454) = 4460495696

LCM Calculator and
and

Least Common Multiple of 94448 and 94454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94448 and 94454, than apply into the LCM equation.

GCF(94448,94454) = 2
LCM(94448,94454) = ( 94448 × 94454) / 2
LCM(94448,94454) = 8920991392 / 2
LCM(94448,94454) = 4460495696

Least Common Multiple (LCM) of 94448 and 94454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94448 and 94454. First we will calculate the prime factors of 94448 and 94454.

Prime Factorization of 94448

Prime factors of 94448 are 2, 5903. Prime factorization of 94448 in exponential form is:

94448 = 24 × 59031

Prime Factorization of 94454

Prime factors of 94454 are 2, 83, 569. Prime factorization of 94454 in exponential form is:

94454 = 21 × 831 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 94448 and 94454.

LCM(94448,94454) = 24 × 59031 × 831 × 5691
LCM(94448,94454) = 4460495696