What is the Least Common Multiple of 92480 and 92498?

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 92480 and 92498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92480 and 92498, than apply into the LCM equation.

GCF(92480,92498) = 2
LCM(92480,92498) = ( 92480 × 92498) / 2
LCM(92480,92498) = 8554215040 / 2
LCM(92480,92498) = 4277107520

Least Common Multiple (LCM) of 92480 and 92498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92480 and 92498. First we will calculate the prime factors of 92480 and 92498.

Prime Factorization of 92480

Prime Factorization of 92498

Now multiplying the highest exponent prime factors to calculate the LCM of 92480 and 92498.

LCM(92480,92498) = 2⁶ × 5¹ × 17² × 7¹ × 6607¹
LCM(92480,92498) = 4277107520