What is the Least Common Multiple of 74500 and 74519?

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 74500 and 74519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74500 and 74519, than apply into the LCM equation.

GCF(74500,74519) = 1
LCM(74500,74519) = ( 74500 × 74519) / 1
LCM(74500,74519) = 5551665500 / 1
LCM(74500,74519) = 5551665500

Least Common Multiple (LCM) of 74500 and 74519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74500 and 74519. First we will calculate the prime factors of 74500 and 74519.

Prime Factorization of 74500

Prime Factorization of 74519

Now multiplying the highest exponent prime factors to calculate the LCM of 74500 and 74519.

LCM(74500,74519) = 2² × 5³ × 149¹ × 43¹ × 1733¹
LCM(74500,74519) = 5551665500