What is the Least Common Multiple of 74900 and 74909?

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 74900 and 74909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74900 and 74909, than apply into the LCM equation.

GCF(74900,74909) = 1
LCM(74900,74909) = ( 74900 × 74909) / 1
LCM(74900,74909) = 5610684100 / 1
LCM(74900,74909) = 5610684100

Least Common Multiple (LCM) of 74900 and 74909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74900 and 74909. First we will calculate the prime factors of 74900 and 74909.

Prime Factorization of 74900

Prime Factorization of 74909

Now multiplying the highest exponent prime factors to calculate the LCM of 74900 and 74909.

LCM(74900,74909) = 2² × 5² × 7¹ × 107¹ × 173¹ × 433¹
LCM(74900,74909) = 5610684100