What is the Least Common Multiple of 73909 and 73916?

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 73909 and 73916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73909 and 73916, than apply into the LCM equation.

GCF(73909,73916) = 1
LCM(73909,73916) = ( 73909 × 73916) / 1
LCM(73909,73916) = 5463057644 / 1
LCM(73909,73916) = 5463057644

Least Common Multiple (LCM) of 73909 and 73916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73909 and 73916. First we will calculate the prime factors of 73909 and 73916.

Prime Factorization of 73909

Prime Factorization of 73916

Now multiplying the highest exponent prime factors to calculate the LCM of 73909 and 73916.

LCM(73909,73916) = 11¹ × 6719¹ × 2² × 17¹ × 1087¹
LCM(73909,73916) = 5463057644