What is the Least Common Multiple of 92490 and 92496?

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 92490 and 92496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92490 and 92496, than apply into the LCM equation.

GCF(92490,92496) = 6
LCM(92490,92496) = ( 92490 × 92496) / 6
LCM(92490,92496) = 8554955040 / 6
LCM(92490,92496) = 1425825840

Least Common Multiple (LCM) of 92490 and 92496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92490 and 92496. First we will calculate the prime factors of 92490 and 92496.

Prime Factorization of 92490

Prime Factorization of 92496

Now multiplying the highest exponent prime factors to calculate the LCM of 92490 and 92496.

LCM(92490,92496) = 2⁴ × 3¹ × 5¹ × 3083¹ × 41¹ × 47¹
LCM(92490,92496) = 1425825840