What is the Least Common Multiple of 48390 and 48409?

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 48390 and 48409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48390 and 48409, than apply into the LCM equation.

GCF(48390,48409) = 1
LCM(48390,48409) = ( 48390 × 48409) / 1
LCM(48390,48409) = 2342511510 / 1
LCM(48390,48409) = 2342511510

Least Common Multiple (LCM) of 48390 and 48409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48390 and 48409. First we will calculate the prime factors of 48390 and 48409.

Prime Factorization of 48390

Prime Factorization of 48409

Now multiplying the highest exponent prime factors to calculate the LCM of 48390 and 48409.

LCM(48390,48409) = 2¹ × 3¹ × 5¹ × 1613¹ × 48409¹
LCM(48390,48409) = 2342511510