What is the Least Common Multiple of 49965 and 49977?

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 49965 and 49977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49965 and 49977, than apply into the LCM equation.

GCF(49965,49977) = 3
LCM(49965,49977) = ( 49965 × 49977) / 3
LCM(49965,49977) = 2497100805 / 3
LCM(49965,49977) = 832366935

Least Common Multiple (LCM) of 49965 and 49977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49965 and 49977. First we will calculate the prime factors of 49965 and 49977.

Prime Factorization of 49965

Prime Factorization of 49977

Now multiplying the highest exponent prime factors to calculate the LCM of 49965 and 49977.

LCM(49965,49977) = 3⁴ × 5¹ × 3331¹ × 617¹
LCM(49965,49977) = 832366935