What is the Least Common Multiple of 74300 and 74314?

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 74300 and 74314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74300 and 74314, than apply into the LCM equation.

GCF(74300,74314) = 2
LCM(74300,74314) = ( 74300 × 74314) / 2
LCM(74300,74314) = 5521530200 / 2
LCM(74300,74314) = 2760765100

Least Common Multiple (LCM) of 74300 and 74314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74300 and 74314. First we will calculate the prime factors of 74300 and 74314.

Prime Factorization of 74300

Prime Factorization of 74314

Now multiplying the highest exponent prime factors to calculate the LCM of 74300 and 74314.

LCM(74300,74314) = 2² × 5² × 743¹ × 73¹ × 509¹
LCM(74300,74314) = 2760765100