What is the Least Common Multiple of 74475 and 74492?

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 74492 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 74492, than apply into the LCM equation.

GCF(74475,74492) = 1
LCM(74475,74492) = ( 74475 × 74492) / 1
LCM(74475,74492) = 5547791700 / 1
LCM(74475,74492) = 5547791700

Least Common Multiple (LCM) of 74475 and 74492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74475 and 74492. First we will calculate the prime factors of 74475 and 74492.

Prime Factorization of 74475

Prime Factorization of 74492

Now multiplying the highest exponent prime factors to calculate the LCM of 74475 and 74492.

LCM(74475,74492) = 3² × 5² × 331¹ × 2² × 11¹ × 1693¹
LCM(74475,74492) = 5547791700