What is the Least Common Multiple of 74475 and 74489?

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 74475 and 74489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74475 and 74489, than apply into the LCM equation.

GCF(74475,74489) = 1
LCM(74475,74489) = ( 74475 × 74489) / 1
LCM(74475,74489) = 5547568275 / 1
LCM(74475,74489) = 5547568275

Least Common Multiple (LCM) of 74475 and 74489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74475 and 74489. First we will calculate the prime factors of 74475 and 74489.

Prime Factorization of 74475

Prime Factorization of 74489

Now multiplying the highest exponent prime factors to calculate the LCM of 74475 and 74489.

LCM(74475,74489) = 3² × 5² × 331¹ × 74489¹
LCM(74475,74489) = 5547568275