What is the Least Common Multiple of 74460 and 74475?

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 74460 and 74475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74460 and 74475, than apply into the LCM equation.

GCF(74460,74475) = 15
LCM(74460,74475) = ( 74460 × 74475) / 15
LCM(74460,74475) = 5545408500 / 15
LCM(74460,74475) = 369693900

Least Common Multiple (LCM) of 74460 and 74475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74460 and 74475. First we will calculate the prime factors of 74460 and 74475.

Prime Factorization of 74460

Prime Factorization of 74475

Now multiplying the highest exponent prime factors to calculate the LCM of 74460 and 74475.

LCM(74460,74475) = 2² × 3² × 5² × 17¹ × 73¹ × 331¹
LCM(74460,74475) = 369693900