What is the Least Common Multiple of 74243 and 74260?

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 74243 and 74260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74243 and 74260, than apply into the LCM equation.

GCF(74243,74260) = 1
LCM(74243,74260) = ( 74243 × 74260) / 1
LCM(74243,74260) = 5513285180 / 1
LCM(74243,74260) = 5513285180

Least Common Multiple (LCM) of 74243 and 74260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74243 and 74260. First we will calculate the prime factors of 74243 and 74260.

Prime Factorization of 74243

Prime Factorization of 74260

Now multiplying the highest exponent prime factors to calculate the LCM of 74243 and 74260.

LCM(74243,74260) = 13¹ × 5711¹ × 2² × 5¹ × 47¹ × 79¹
LCM(74243,74260) = 5513285180