What is the Least Common Multiple of 90694 and 90700?

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 90694 and 90700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90694 and 90700, than apply into the LCM equation.

GCF(90694,90700) = 2
LCM(90694,90700) = ( 90694 × 90700) / 2
LCM(90694,90700) = 8225945800 / 2
LCM(90694,90700) = 4112972900

Least Common Multiple (LCM) of 90694 and 90700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90694 and 90700. First we will calculate the prime factors of 90694 and 90700.

Prime Factorization of 90694

Prime Factorization of 90700

Now multiplying the highest exponent prime factors to calculate the LCM of 90694 and 90700.

LCM(90694,90700) = 2² × 137¹ × 331¹ × 5² × 907¹
LCM(90694,90700) = 4112972900