What is the Least Common Multiple of 93499 and 93513?

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 93499 and 93513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93499 and 93513, than apply into the LCM equation.

GCF(93499,93513) = 7
LCM(93499,93513) = ( 93499 × 93513) / 7
LCM(93499,93513) = 8743371987 / 7
LCM(93499,93513) = 1249053141

Least Common Multiple (LCM) of 93499 and 93513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93499 and 93513. First we will calculate the prime factors of 93499 and 93513.

Prime Factorization of 93499

Prime Factorization of 93513

Now multiplying the highest exponent prime factors to calculate the LCM of 93499 and 93513.

LCM(93499,93513) = 7¹ × 19² × 37¹ × 3¹ × 61¹ × 73¹
LCM(93499,93513) = 1249053141