What is the Least Common Multiple of 93515 and 93534?

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 93515 and 93534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93515 and 93534, than apply into the LCM equation.

GCF(93515,93534) = 1
LCM(93515,93534) = ( 93515 × 93534) / 1
LCM(93515,93534) = 8746832010 / 1
LCM(93515,93534) = 8746832010

Least Common Multiple (LCM) of 93515 and 93534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93515 and 93534. First we will calculate the prime factors of 93515 and 93534.

Prime Factorization of 93515

Prime Factorization of 93534

Now multiplying the highest exponent prime factors to calculate the LCM of 93515 and 93534.

LCM(93515,93534) = 5¹ × 59¹ × 317¹ × 2¹ × 3¹ × 7¹ × 17¹ × 131¹
LCM(93515,93534) = 8746832010