What is the Least Common Multiple of 49650 and 49655?

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 49650 and 49655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49650 and 49655, than apply into the LCM equation.

GCF(49650,49655) = 5
LCM(49650,49655) = ( 49650 × 49655) / 5
LCM(49650,49655) = 2465370750 / 5
LCM(49650,49655) = 493074150

Least Common Multiple (LCM) of 49650 and 49655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49650 and 49655. First we will calculate the prime factors of 49650 and 49655.

Prime Factorization of 49650

Prime Factorization of 49655

Now multiplying the highest exponent prime factors to calculate the LCM of 49650 and 49655.

LCM(49650,49655) = 2¹ × 3¹ × 5² × 331¹ × 9931¹
LCM(49650,49655) = 493074150