What is the Least Common Multiple of 74253 and 74271?

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 74253 and 74271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74253 and 74271, than apply into the LCM equation.

GCF(74253,74271) = 3
LCM(74253,74271) = ( 74253 × 74271) / 3
LCM(74253,74271) = 5514844563 / 3
LCM(74253,74271) = 1838281521

Least Common Multiple (LCM) of 74253 and 74271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74253 and 74271. First we will calculate the prime factors of 74253 and 74271.

Prime Factorization of 74253

Prime Factorization of 74271

Now multiplying the highest exponent prime factors to calculate the LCM of 74253 and 74271.

LCM(74253,74271) = 3¹ × 53¹ × 467¹ × 19¹ × 1303¹
LCM(74253,74271) = 1838281521