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What is the Least Common Multiple of 74022 and 74038?

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 74022 and 74038 is 2740220418.

LCM(74022,74038) = 2740220418

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Least Common Multiple of 74022 and 74038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74022 and 74038, than apply into the LCM equation.

GCF(74022,74038) = 2
LCM(74022,74038) = ( 74022 × 74038) / 2
LCM(74022,74038) = 5480440836 / 2
LCM(74022,74038) = 2740220418

Least Common Multiple (LCM) of 74022 and 74038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74022 and 74038. First we will calculate the prime factors of 74022 and 74038.

Prime Factorization of 74022

Prime factors of 74022 are 2, 3, 13, 73. Prime factorization of 74022 in exponential form is:

74022 = 21 × 31 × 132 × 731

Prime Factorization of 74038

Prime factors of 74038 are 2, 37019. Prime factorization of 74038 in exponential form is:

74038 = 21 × 370191

Now multiplying the highest exponent prime factors to calculate the LCM of 74022 and 74038.

LCM(74022,74038) = 21 × 31 × 132 × 731 × 370191
LCM(74022,74038) = 2740220418