What is the Least Common Multiple of 58214 and 58230?

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 58214 and 58230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58214 and 58230, than apply into the LCM equation.

GCF(58214,58230) = 2
LCM(58214,58230) = ( 58214 × 58230) / 2
LCM(58214,58230) = 3389801220 / 2
LCM(58214,58230) = 1694900610

Least Common Multiple (LCM) of 58214 and 58230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58214 and 58230. First we will calculate the prime factors of 58214 and 58230.

Prime Factorization of 58214

Prime Factorization of 58230

Now multiplying the highest exponent prime factors to calculate the LCM of 58214 and 58230.

LCM(58214,58230) = 2¹ × 13¹ × 2239¹ × 3² × 5¹ × 647¹
LCM(58214,58230) = 1694900610