What is the Least Common Multiple of 58240 and 58247?

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 58240 and 58247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58240 and 58247, than apply into the LCM equation.

GCF(58240,58247) = 7
LCM(58240,58247) = ( 58240 × 58247) / 7
LCM(58240,58247) = 3392305280 / 7
LCM(58240,58247) = 484615040

Least Common Multiple (LCM) of 58240 and 58247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58240 and 58247. First we will calculate the prime factors of 58240 and 58247.

Prime Factorization of 58240

Prime Factorization of 58247

Now multiplying the highest exponent prime factors to calculate the LCM of 58240 and 58247.

LCM(58240,58247) = 2⁷ × 5¹ × 7¹ × 13¹ × 53¹ × 157¹
LCM(58240,58247) = 484615040