What is the Least Common Multiple of 59314 and 59334?

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 59314 and 59334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59314 and 59334, than apply into the LCM equation.

GCF(59314,59334) = 2
LCM(59314,59334) = ( 59314 × 59334) / 2
LCM(59314,59334) = 3519336876 / 2
LCM(59314,59334) = 1759668438

Least Common Multiple (LCM) of 59314 and 59334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59314 and 59334. First we will calculate the prime factors of 59314 and 59334.

Prime Factorization of 59314

Prime Factorization of 59334

Now multiplying the highest exponent prime factors to calculate the LCM of 59314 and 59334.

LCM(59314,59334) = 2¹ × 47¹ × 631¹ × 3¹ × 11¹ × 29¹ × 31¹
LCM(59314,59334) = 1759668438