What is the Least Common Multiple of 92415 and 92424?

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 92415 and 92424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92415 and 92424, than apply into the LCM equation.

GCF(92415,92424) = 3
LCM(92415,92424) = ( 92415 × 92424) / 3
LCM(92415,92424) = 8541363960 / 3
LCM(92415,92424) = 2847121320

Least Common Multiple (LCM) of 92415 and 92424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92415 and 92424. First we will calculate the prime factors of 92415 and 92424.

Prime Factorization of 92415

Prime Factorization of 92424

Now multiplying the highest exponent prime factors to calculate the LCM of 92415 and 92424.

LCM(92415,92424) = 3¹ × 5¹ × 61¹ × 101¹ × 2³ × 3851¹
LCM(92415,92424) = 2847121320