What is the Least Common Multiple of 49650 and 49663?

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 49663 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 49663, than apply into the LCM equation.

GCF(49650,49663) = 1
LCM(49650,49663) = ( 49650 × 49663) / 1
LCM(49650,49663) = 2465767950 / 1
LCM(49650,49663) = 2465767950

Least Common Multiple (LCM) of 49650 and 49663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49650 and 49663. First we will calculate the prime factors of 49650 and 49663.

Prime Factorization of 49650

Prime Factorization of 49663

Now multiplying the highest exponent prime factors to calculate the LCM of 49650 and 49663.

LCM(49650,49663) = 2¹ × 3¹ × 5² × 331¹ × 49663¹
LCM(49650,49663) = 2465767950