What is the Least Common Multiple of 74090 and 74101?

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 74090 and 74101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74090 and 74101, than apply into the LCM equation.

GCF(74090,74101) = 1
LCM(74090,74101) = ( 74090 × 74101) / 1
LCM(74090,74101) = 5490143090 / 1
LCM(74090,74101) = 5490143090

Least Common Multiple (LCM) of 74090 and 74101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74090 and 74101. First we will calculate the prime factors of 74090 and 74101.

Prime Factorization of 74090

Prime Factorization of 74101

Now multiplying the highest exponent prime factors to calculate the LCM of 74090 and 74101.

LCM(74090,74101) = 2¹ × 5¹ × 31¹ × 239¹ × 74101¹
LCM(74090,74101) = 5490143090