What is the Least Common Multiple of 74049 and 74064?

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 74049 and 74064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74049 and 74064, than apply into the LCM equation.

GCF(74049,74064) = 3
LCM(74049,74064) = ( 74049 × 74064) / 3
LCM(74049,74064) = 5484365136 / 3
LCM(74049,74064) = 1828121712

Least Common Multiple (LCM) of 74049 and 74064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74049 and 74064. First we will calculate the prime factors of 74049 and 74064.

Prime Factorization of 74049

Prime Factorization of 74064

Now multiplying the highest exponent prime factors to calculate the LCM of 74049 and 74064.

LCM(74049,74064) = 3¹ × 24683¹ × 2⁴ × 1543¹
LCM(74049,74064) = 1828121712