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What is the Least Common Multiple of 74140 and 74156?

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 74140 and 74156 is 1374481460.

LCM(74140,74156) = 1374481460

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Least Common Multiple of 74140 and 74156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74140 and 74156, than apply into the LCM equation.

GCF(74140,74156) = 4
LCM(74140,74156) = ( 74140 × 74156) / 4
LCM(74140,74156) = 5497925840 / 4
LCM(74140,74156) = 1374481460

Least Common Multiple (LCM) of 74140 and 74156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74140 and 74156. First we will calculate the prime factors of 74140 and 74156.

Prime Factorization of 74140

Prime factors of 74140 are 2, 5, 11, 337. Prime factorization of 74140 in exponential form is:

74140 = 22 × 51 × 111 × 3371

Prime Factorization of 74156

Prime factors of 74156 are 2, 18539. Prime factorization of 74156 in exponential form is:

74156 = 22 × 185391

Now multiplying the highest exponent prime factors to calculate the LCM of 74140 and 74156.

LCM(74140,74156) = 22 × 51 × 111 × 3371 × 185391
LCM(74140,74156) = 1374481460