What is the Least Common Multiple of 59214 and 59233?

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 59214 and 59233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59214 and 59233, than apply into the LCM equation.

GCF(59214,59233) = 1
LCM(59214,59233) = ( 59214 × 59233) / 1
LCM(59214,59233) = 3507422862 / 1
LCM(59214,59233) = 3507422862

Least Common Multiple (LCM) of 59214 and 59233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59214 and 59233. First we will calculate the prime factors of 59214 and 59233.

Prime Factorization of 59214

Prime Factorization of 59233

Now multiplying the highest exponent prime factors to calculate the LCM of 59214 and 59233.

LCM(59214,59233) = 2¹ × 3¹ × 71¹ × 139¹ × 59233¹
LCM(59214,59233) = 3507422862