What is the Least Common Multiple of 92421 and 92441?

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 92421 and 92441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92421 and 92441, than apply into the LCM equation.

GCF(92421,92441) = 1
LCM(92421,92441) = ( 92421 × 92441) / 1
LCM(92421,92441) = 8543489661 / 1
LCM(92421,92441) = 8543489661

Least Common Multiple (LCM) of 92421 and 92441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92421 and 92441. First we will calculate the prime factors of 92421 and 92441.

Prime Factorization of 92421

Prime Factorization of 92441

Now multiplying the highest exponent prime factors to calculate the LCM of 92421 and 92441.

LCM(92421,92441) = 3⁴ × 7¹ × 163¹ × 97¹ × 953¹
LCM(92421,92441) = 8543489661