What is the Least Common Multiple of 57594 and 57614?

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 57594 and 57614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57594 and 57614, than apply into the LCM equation.

GCF(57594,57614) = 2
LCM(57594,57614) = ( 57594 × 57614) / 2
LCM(57594,57614) = 3318220716 / 2
LCM(57594,57614) = 1659110358

Least Common Multiple (LCM) of 57594 and 57614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57594 and 57614. First we will calculate the prime factors of 57594 and 57614.

Prime Factorization of 57594

Prime Factorization of 57614

Now multiplying the highest exponent prime factors to calculate the LCM of 57594 and 57614.

LCM(57594,57614) = 2¹ × 3¹ × 29¹ × 331¹ × 28807¹
LCM(57594,57614) = 1659110358