What is the Least Common Multiple of 74054 and 74065?

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 74054 and 74065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74054 and 74065, than apply into the LCM equation.

GCF(74054,74065) = 1
LCM(74054,74065) = ( 74054 × 74065) / 1
LCM(74054,74065) = 5484809510 / 1
LCM(74054,74065) = 5484809510

Least Common Multiple (LCM) of 74054 and 74065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74054 and 74065. First we will calculate the prime factors of 74054 and 74065.

Prime Factorization of 74054

Prime Factorization of 74065

Now multiplying the highest exponent prime factors to calculate the LCM of 74054 and 74065.

LCM(74054,74065) = 2¹ × 61¹ × 607¹ × 5¹ × 14813¹
LCM(74054,74065) = 5484809510