What is the Least Common Multiple of 93264 and 93274?

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 93264 and 93274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93264 and 93274, than apply into the LCM equation.

GCF(93264,93274) = 2
LCM(93264,93274) = ( 93264 × 93274) / 2
LCM(93264,93274) = 8699106336 / 2
LCM(93264,93274) = 4349553168

Least Common Multiple (LCM) of 93264 and 93274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93264 and 93274. First we will calculate the prime factors of 93264 and 93274.

Prime Factorization of 93264

Prime Factorization of 93274

Now multiplying the highest exponent prime factors to calculate the LCM of 93264 and 93274.

LCM(93264,93274) = 2⁴ × 3¹ × 29¹ × 67¹ × 149¹ × 313¹
LCM(93264,93274) = 4349553168