What is the Least Common Multiple of 74045 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 74045 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 74045 and 74052, than apply into the LCM equation.

GCF(74045,74052) = 1
LCM(74045,74052) = ( 74045 × 74052) / 1
LCM(74045,74052) = 5483180340 / 1
LCM(74045,74052) = 5483180340

Least Common Multiple (LCM) of 74045 and 74052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74045 and 74052. First we will calculate the prime factors of 74045 and 74052.

Prime Factorization of 74045

Prime Factorization of 74052

Now multiplying the highest exponent prime factors to calculate the LCM of 74045 and 74052.

LCM(74045,74052) = 5¹ × 59¹ × 251¹ × 2² × 3² × 11² × 17¹
LCM(74045,74052) = 5483180340