What is the Least Common Multiple of 92514 and 92529?

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 92514 and 92529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92514 and 92529, than apply into the LCM equation.

GCF(92514,92529) = 3
LCM(92514,92529) = ( 92514 × 92529) / 3
LCM(92514,92529) = 8560227906 / 3
LCM(92514,92529) = 2853409302

Least Common Multiple (LCM) of 92514 and 92529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92514 and 92529. First we will calculate the prime factors of 92514 and 92529.

Prime Factorization of 92514

Prime Factorization of 92529

Now multiplying the highest exponent prime factors to calculate the LCM of 92514 and 92529.

LCM(92514,92529) = 2¹ × 3³ × 17¹ × 907¹ × 23¹ × 149¹
LCM(92514,92529) = 2853409302