What is the Least Common Multiple of 49590 and 49595?

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 49590 and 49595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49590 and 49595, than apply into the LCM equation.

GCF(49590,49595) = 5
LCM(49590,49595) = ( 49590 × 49595) / 5
LCM(49590,49595) = 2459416050 / 5
LCM(49590,49595) = 491883210

Least Common Multiple (LCM) of 49590 and 49595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49590 and 49595. First we will calculate the prime factors of 49590 and 49595.

Prime Factorization of 49590

Prime Factorization of 49595

Now multiplying the highest exponent prime factors to calculate the LCM of 49590 and 49595.

LCM(49590,49595) = 2¹ × 3² × 5¹ × 19¹ × 29¹ × 7¹ × 13¹ × 109¹
LCM(49590,49595) = 491883210