What is the Least Common Multiple of 92415 and 92434?

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 92434 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 92434, than apply into the LCM equation.

GCF(92415,92434) = 1
LCM(92415,92434) = ( 92415 × 92434) / 1
LCM(92415,92434) = 8542288110 / 1
LCM(92415,92434) = 8542288110

Least Common Multiple (LCM) of 92415 and 92434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92415 and 92434. First we will calculate the prime factors of 92415 and 92434.

Prime Factorization of 92415

Prime Factorization of 92434

Now multiplying the highest exponent prime factors to calculate the LCM of 92415 and 92434.

LCM(92415,92434) = 3¹ × 5¹ × 61¹ × 101¹ × 2¹ × 113¹ × 409¹
LCM(92415,92434) = 8542288110