What is the Least Common Multiple of 58399 and 58410?

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 58399 and 58410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58399 and 58410, than apply into the LCM equation.

GCF(58399,58410) = 11
LCM(58399,58410) = ( 58399 × 58410) / 11
LCM(58399,58410) = 3411085590 / 11
LCM(58399,58410) = 310098690

Least Common Multiple (LCM) of 58399 and 58410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58399 and 58410. First we will calculate the prime factors of 58399 and 58410.

Prime Factorization of 58399

Prime Factorization of 58410

Now multiplying the highest exponent prime factors to calculate the LCM of 58399 and 58410.

LCM(58399,58410) = 11¹ × 5309¹ × 2¹ × 3² × 5¹ × 59¹
LCM(58399,58410) = 310098690