What is the Least Common Multiple of 49950 and 49965?

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 49950 and 49965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49950 and 49965, than apply into the LCM equation.

GCF(49950,49965) = 15
LCM(49950,49965) = ( 49950 × 49965) / 15
LCM(49950,49965) = 2495751750 / 15
LCM(49950,49965) = 166383450

Least Common Multiple (LCM) of 49950 and 49965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49950 and 49965. First we will calculate the prime factors of 49950 and 49965.

Prime Factorization of 49950

Prime Factorization of 49965

Now multiplying the highest exponent prime factors to calculate the LCM of 49950 and 49965.

LCM(49950,49965) = 2¹ × 3³ × 5² × 37¹ × 3331¹
LCM(49950,49965) = 166383450