What is the Least Common Multiple of 58214 and 58234?

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 58234 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 58234, than apply into the LCM equation.

GCF(58214,58234) = 2
LCM(58214,58234) = ( 58214 × 58234) / 2
LCM(58214,58234) = 3390034076 / 2
LCM(58214,58234) = 1695017038

Least Common Multiple (LCM) of 58214 and 58234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58214 and 58234. First we will calculate the prime factors of 58214 and 58234.

Prime Factorization of 58214

Prime Factorization of 58234

Now multiplying the highest exponent prime factors to calculate the LCM of 58214 and 58234.

LCM(58214,58234) = 2¹ × 13¹ × 2239¹ × 11¹ × 2647¹
LCM(58214,58234) = 1695017038