What is the Least Common Multiple of 93514 and 93532?

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 93514 and 93532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93514 and 93532, than apply into the LCM equation.

GCF(93514,93532) = 2
LCM(93514,93532) = ( 93514 × 93532) / 2
LCM(93514,93532) = 8746551448 / 2
LCM(93514,93532) = 4373275724

Least Common Multiple (LCM) of 93514 and 93532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93514 and 93532. First we will calculate the prime factors of 93514 and 93532.

Prime Factorization of 93514

Prime Factorization of 93532

Now multiplying the highest exponent prime factors to calculate the LCM of 93514 and 93532.

LCM(93514,93532) = 2² × 46757¹ × 67¹ × 349¹
LCM(93514,93532) = 4373275724