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What is the Least Common Multiple of 74159 and 74170?

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 74159 and 74170 is 5500373030.

LCM(74159,74170) = 5500373030

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Least Common Multiple of 74159 and 74170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74159 and 74170, than apply into the LCM equation.

GCF(74159,74170) = 1
LCM(74159,74170) = ( 74159 × 74170) / 1
LCM(74159,74170) = 5500373030 / 1
LCM(74159,74170) = 5500373030

Least Common Multiple (LCM) of 74159 and 74170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74159 and 74170. First we will calculate the prime factors of 74159 and 74170.

Prime Factorization of 74159

Prime factors of 74159 are 74159. Prime factorization of 74159 in exponential form is:

74159 = 741591

Prime Factorization of 74170

Prime factors of 74170 are 2, 5, 7417. Prime factorization of 74170 in exponential form is:

74170 = 21 × 51 × 74171

Now multiplying the highest exponent prime factors to calculate the LCM of 74159 and 74170.

LCM(74159,74170) = 741591 × 21 × 51 × 74171
LCM(74159,74170) = 5500373030