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What is the Least Common Multiple of 74147 and 74155?

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 74147 and 74155 is 5498370785.

LCM(74147,74155) = 5498370785

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Least Common Multiple of 74147 and 74155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74147 and 74155, than apply into the LCM equation.

GCF(74147,74155) = 1
LCM(74147,74155) = ( 74147 × 74155) / 1
LCM(74147,74155) = 5498370785 / 1
LCM(74147,74155) = 5498370785

Least Common Multiple (LCM) of 74147 and 74155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74147 and 74155. First we will calculate the prime factors of 74147 and 74155.

Prime Factorization of 74147

Prime factors of 74147 are 53, 1399. Prime factorization of 74147 in exponential form is:

74147 = 531 × 13991

Prime Factorization of 74155

Prime factors of 74155 are 5, 14831. Prime factorization of 74155 in exponential form is:

74155 = 51 × 148311

Now multiplying the highest exponent prime factors to calculate the LCM of 74147 and 74155.

LCM(74147,74155) = 531 × 13991 × 51 × 148311
LCM(74147,74155) = 5498370785