What is the Least Common Multiple of 74230 and 74250?

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 74230 and 74250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74230 and 74250, than apply into the LCM equation.

GCF(74230,74250) = 10
LCM(74230,74250) = ( 74230 × 74250) / 10
LCM(74230,74250) = 5511577500 / 10
LCM(74230,74250) = 551157750

Least Common Multiple (LCM) of 74230 and 74250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74230 and 74250. First we will calculate the prime factors of 74230 and 74250.

Prime Factorization of 74230

Prime Factorization of 74250

Now multiplying the highest exponent prime factors to calculate the LCM of 74230 and 74250.

LCM(74230,74250) = 2¹ × 5³ × 13¹ × 571¹ × 3³ × 11¹
LCM(74230,74250) = 551157750