What is the Least Common Multiple of 58985 and 58994?

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 58985 and 58994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58985 and 58994, than apply into the LCM equation.

GCF(58985,58994) = 1
LCM(58985,58994) = ( 58985 × 58994) / 1
LCM(58985,58994) = 3479761090 / 1
LCM(58985,58994) = 3479761090

Least Common Multiple (LCM) of 58985 and 58994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58985 and 58994. First we will calculate the prime factors of 58985 and 58994.

Prime Factorization of 58985

Prime Factorization of 58994

Now multiplying the highest exponent prime factors to calculate the LCM of 58985 and 58994.

LCM(58985,58994) = 5¹ × 47¹ × 251¹ × 2¹ × 13¹ × 2269¹
LCM(58985,58994) = 3479761090