What is the Least Common Multiple of 47579 and 47590?

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 47579 and 47590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47579 and 47590, than apply into the LCM equation.

GCF(47579,47590) = 1
LCM(47579,47590) = ( 47579 × 47590) / 1
LCM(47579,47590) = 2264284610 / 1
LCM(47579,47590) = 2264284610

Least Common Multiple (LCM) of 47579 and 47590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47579 and 47590. First we will calculate the prime factors of 47579 and 47590.

Prime Factorization of 47579

Prime Factorization of 47590

Now multiplying the highest exponent prime factors to calculate the LCM of 47579 and 47590.

LCM(47579,47590) = 7² × 971¹ × 2¹ × 5¹ × 4759¹
LCM(47579,47590) = 2264284610