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What is the Least Common Multiple of 74827 and 74846?

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 74827 and 74846 is 5600501642.

LCM(74827,74846) = 5600501642

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Least Common Multiple of 74827 and 74846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74827 and 74846, than apply into the LCM equation.

GCF(74827,74846) = 1
LCM(74827,74846) = ( 74827 × 74846) / 1
LCM(74827,74846) = 5600501642 / 1
LCM(74827,74846) = 5600501642

Least Common Multiple (LCM) of 74827 and 74846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74827 and 74846. First we will calculate the prime factors of 74827 and 74846.

Prime Factorization of 74827

Prime factors of 74827 are 74827. Prime factorization of 74827 in exponential form is:

74827 = 748271

Prime Factorization of 74846

Prime factors of 74846 are 2, 37423. Prime factorization of 74846 in exponential form is:

74846 = 21 × 374231

Now multiplying the highest exponent prime factors to calculate the LCM of 74827 and 74846.

LCM(74827,74846) = 748271 × 21 × 374231
LCM(74827,74846) = 5600501642