What is the Least Common Multiple of 74048 and 74052?

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 74048 and 74052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74048 and 74052, than apply into the LCM equation.

GCF(74048,74052) = 4
LCM(74048,74052) = ( 74048 × 74052) / 4
LCM(74048,74052) = 5483402496 / 4
LCM(74048,74052) = 1370850624

Least Common Multiple (LCM) of 74048 and 74052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74048 and 74052. First we will calculate the prime factors of 74048 and 74052.

Prime Factorization of 74048

Prime Factorization of 74052

Now multiplying the highest exponent prime factors to calculate the LCM of 74048 and 74052.

LCM(74048,74052) = 2⁶ × 13¹ × 89¹ × 3² × 11² × 17¹
LCM(74048,74052) = 1370850624