What is the Least Common Multiple of 49590 and 49610?

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 49610 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 49610, than apply into the LCM equation.

GCF(49590,49610) = 10
LCM(49590,49610) = ( 49590 × 49610) / 10
LCM(49590,49610) = 2460159900 / 10
LCM(49590,49610) = 246015990

Least Common Multiple (LCM) of 49590 and 49610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49590 and 49610. First we will calculate the prime factors of 49590 and 49610.

Prime Factorization of 49590

Prime Factorization of 49610

Now multiplying the highest exponent prime factors to calculate the LCM of 49590 and 49610.

LCM(49590,49610) = 2¹ × 3² × 5¹ × 19¹ × 29¹ × 11² × 41¹
LCM(49590,49610) = 246015990