What is the Least Common Multiple of 49445 and 49465?

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 49445 and 49465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49445 and 49465, than apply into the LCM equation.

GCF(49445,49465) = 5
LCM(49445,49465) = ( 49445 × 49465) / 5
LCM(49445,49465) = 2445796925 / 5
LCM(49445,49465) = 489159385

Least Common Multiple (LCM) of 49445 and 49465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49445 and 49465. First we will calculate the prime factors of 49445 and 49465.

Prime Factorization of 49445

Prime Factorization of 49465

Now multiplying the highest exponent prime factors to calculate the LCM of 49445 and 49465.

LCM(49445,49465) = 5¹ × 11¹ × 29¹ × 31¹ × 13¹ × 761¹
LCM(49445,49465) = 489159385