What is the Least Common Multiple of 73916 and 73936?

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 73916 and 73936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73916 and 73936, than apply into the LCM equation.

GCF(73916,73936) = 4
LCM(73916,73936) = ( 73916 × 73936) / 4
LCM(73916,73936) = 5465053376 / 4
LCM(73916,73936) = 1366263344

Least Common Multiple (LCM) of 73916 and 73936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73916 and 73936. First we will calculate the prime factors of 73916 and 73936.

Prime Factorization of 73916

Prime Factorization of 73936

Now multiplying the highest exponent prime factors to calculate the LCM of 73916 and 73936.

LCM(73916,73936) = 2⁴ × 17¹ × 1087¹ × 4621¹
LCM(73916,73936) = 1366263344