What is the Least Common Multiple of 49623 and 49640?

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 49623 and 49640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49623 and 49640, than apply into the LCM equation.

GCF(49623,49640) = 17
LCM(49623,49640) = ( 49623 × 49640) / 17
LCM(49623,49640) = 2463285720 / 17
LCM(49623,49640) = 144899160

Least Common Multiple (LCM) of 49623 and 49640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49623 and 49640. First we will calculate the prime factors of 49623 and 49640.

Prime Factorization of 49623

Prime Factorization of 49640

Now multiplying the highest exponent prime factors to calculate the LCM of 49623 and 49640.

LCM(49623,49640) = 3¹ × 7¹ × 17¹ × 139¹ × 2³ × 5¹ × 73¹
LCM(49623,49640) = 144899160