What is the Least Common Multiple of 59215 and 59234?

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 59215 and 59234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59215 and 59234, than apply into the LCM equation.

GCF(59215,59234) = 1
LCM(59215,59234) = ( 59215 × 59234) / 1
LCM(59215,59234) = 3507541310 / 1
LCM(59215,59234) = 3507541310

Least Common Multiple (LCM) of 59215 and 59234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59215 and 59234. First we will calculate the prime factors of 59215 and 59234.

Prime Factorization of 59215

Prime Factorization of 59234

Now multiplying the highest exponent prime factors to calculate the LCM of 59215 and 59234.

LCM(59215,59234) = 5¹ × 13¹ × 911¹ × 2¹ × 7¹ × 4231¹
LCM(59215,59234) = 3507541310