What is the Least Common Multiple of 49585 and 49605?

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 49585 and 49605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49585 and 49605, than apply into the LCM equation.

GCF(49585,49605) = 5
LCM(49585,49605) = ( 49585 × 49605) / 5
LCM(49585,49605) = 2459663925 / 5
LCM(49585,49605) = 491932785

Least Common Multiple (LCM) of 49585 and 49605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49585 and 49605. First we will calculate the prime factors of 49585 and 49605.

Prime Factorization of 49585

Prime Factorization of 49605

Now multiplying the highest exponent prime factors to calculate the LCM of 49585 and 49605.

LCM(49585,49605) = 5¹ × 47¹ × 211¹ × 3¹ × 3307¹
LCM(49585,49605) = 491932785