What is the Least Common Multiple of 74445 and 74460?

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 74445 and 74460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74445 and 74460, than apply into the LCM equation.

GCF(74445,74460) = 15
LCM(74445,74460) = ( 74445 × 74460) / 15
LCM(74445,74460) = 5543174700 / 15
LCM(74445,74460) = 369544980

Least Common Multiple (LCM) of 74445 and 74460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74445 and 74460. First we will calculate the prime factors of 74445 and 74460.

Prime Factorization of 74445

Prime Factorization of 74460

Now multiplying the highest exponent prime factors to calculate the LCM of 74445 and 74460.

LCM(74445,74460) = 3¹ × 5¹ × 7¹ × 709¹ × 2² × 17¹ × 73¹
LCM(74445,74460) = 369544980