What is the Least Common Multiple of 74245 and 74257?

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 74245 and 74257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74245 and 74257, than apply into the LCM equation.

GCF(74245,74257) = 1
LCM(74245,74257) = ( 74245 × 74257) / 1
LCM(74245,74257) = 5513210965 / 1
LCM(74245,74257) = 5513210965

Least Common Multiple (LCM) of 74245 and 74257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74245 and 74257. First we will calculate the prime factors of 74245 and 74257.

Prime Factorization of 74245

Prime Factorization of 74257

Now multiplying the highest exponent prime factors to calculate the LCM of 74245 and 74257.

LCM(74245,74257) = 5¹ × 31¹ × 479¹ × 74257¹
LCM(74245,74257) = 5513210965