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What is the Least Common Multiple of 74089 and 74102?

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 (LCM) of 74089 and 74102 is 5490143078.

LCM(74089,74102) = 5490143078

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Least Common Multiple of 74089 and 74102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74089 and 74102, than apply into the LCM equation.

GCF(74089,74102) = 1
LCM(74089,74102) = ( 74089 × 74102) / 1
LCM(74089,74102) = 5490143078 / 1
LCM(74089,74102) = 5490143078

Least Common Multiple (LCM) of 74089 and 74102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74089 and 74102. First we will calculate the prime factors of 74089 and 74102.

Prime Factorization of 74089

Prime factors of 74089 are 43, 1723. Prime factorization of 74089 in exponential form is:

74089 = 431 × 17231

Prime Factorization of 74102

Prime factors of 74102 are 2, 7, 67, 79. Prime factorization of 74102 in exponential form is:

74102 = 21 × 71 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 74089 and 74102.

LCM(74089,74102) = 431 × 17231 × 21 × 71 × 671 × 791
LCM(74089,74102) = 5490143078