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What is the Least Common Multiple of 74861 and 74876?

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 74861 and 74876 is 5605292236.

LCM(74861,74876) = 5605292236

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Least Common Multiple of 74861 and 74876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74861 and 74876, than apply into the LCM equation.

GCF(74861,74876) = 1
LCM(74861,74876) = ( 74861 × 74876) / 1
LCM(74861,74876) = 5605292236 / 1
LCM(74861,74876) = 5605292236

Least Common Multiple (LCM) of 74861 and 74876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74861 and 74876. First we will calculate the prime factors of 74861 and 74876.

Prime Factorization of 74861

Prime factors of 74861 are 74861. Prime factorization of 74861 in exponential form is:

74861 = 748611

Prime Factorization of 74876

Prime factors of 74876 are 2, 18719. Prime factorization of 74876 in exponential form is:

74876 = 22 × 187191

Now multiplying the highest exponent prime factors to calculate the LCM of 74861 and 74876.

LCM(74861,74876) = 748611 × 22 × 187191
LCM(74861,74876) = 5605292236