What is the Least Common Multiple of 58509 and 58516?

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 58509 and 58516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58509 and 58516, than apply into the LCM equation.

GCF(58509,58516) = 1
LCM(58509,58516) = ( 58509 × 58516) / 1
LCM(58509,58516) = 3423712644 / 1
LCM(58509,58516) = 3423712644

Least Common Multiple (LCM) of 58509 and 58516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58509 and 58516. First we will calculate the prime factors of 58509 and 58516.

Prime Factorization of 58509

Prime Factorization of 58516

Now multiplying the highest exponent prime factors to calculate the LCM of 58509 and 58516.

LCM(58509,58516) = 3³ × 11¹ × 197¹ × 2² × 14629¹
LCM(58509,58516) = 3423712644