What is the Least Common Multiple of 73164 and 73168?

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 73164 and 73168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73164 and 73168, than apply into the LCM equation.

GCF(73164,73168) = 4
LCM(73164,73168) = ( 73164 × 73168) / 4
LCM(73164,73168) = 5353263552 / 4
LCM(73164,73168) = 1338315888

Least Common Multiple (LCM) of 73164 and 73168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73164 and 73168. First we will calculate the prime factors of 73164 and 73168.

Prime Factorization of 73164

Prime Factorization of 73168

Now multiplying the highest exponent prime factors to calculate the LCM of 73164 and 73168.

LCM(73164,73168) = 2⁴ × 3¹ × 7¹ × 13¹ × 67¹ × 17¹ × 269¹
LCM(73164,73168) = 1338315888