What is the Least Common Multiple of 74052 and 74059?

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 74052 and 74059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74052 and 74059, than apply into the LCM equation.

GCF(74052,74059) = 1
LCM(74052,74059) = ( 74052 × 74059) / 1
LCM(74052,74059) = 5484217068 / 1
LCM(74052,74059) = 5484217068

Least Common Multiple (LCM) of 74052 and 74059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74052 and 74059. First we will calculate the prime factors of 74052 and 74059.

Prime Factorization of 74052

Prime Factorization of 74059

Now multiplying the highest exponent prime factors to calculate the LCM of 74052 and 74059.

LCM(74052,74059) = 2² × 3² × 11² × 17¹ × 31¹ × 2389¹
LCM(74052,74059) = 5484217068