What is the Least Common Multiple of 44590 and 44597?

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 44590 and 44597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44590 and 44597, than apply into the LCM equation.

GCF(44590,44597) = 7
LCM(44590,44597) = ( 44590 × 44597) / 7
LCM(44590,44597) = 1988580230 / 7
LCM(44590,44597) = 284082890

Least Common Multiple (LCM) of 44590 and 44597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44590 and 44597. First we will calculate the prime factors of 44590 and 44597.

Prime Factorization of 44590

Prime Factorization of 44597

Now multiplying the highest exponent prime factors to calculate the LCM of 44590 and 44597.

LCM(44590,44597) = 2¹ × 5¹ × 7³ × 13¹ × 23¹ × 277¹
LCM(44590,44597) = 284082890