What is the Least Common Multiple of 94814 and 94832?

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 94814 and 94832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94814 and 94832, than apply into the LCM equation.

GCF(94814,94832) = 2
LCM(94814,94832) = ( 94814 × 94832) / 2
LCM(94814,94832) = 8991401248 / 2
LCM(94814,94832) = 4495700624

Least Common Multiple (LCM) of 94814 and 94832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94814 and 94832. First we will calculate the prime factors of 94814 and 94832.

Prime Factorization of 94814

Prime Factorization of 94832

Now multiplying the highest exponent prime factors to calculate the LCM of 94814 and 94832.

LCM(94814,94832) = 2⁴ × 47407¹ × 5927¹
LCM(94814,94832) = 4495700624