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What is the Least Common Multiple of 79831 and 79851?

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 79831 and 79851 is 6374585181.

LCM(79831,79851) = 6374585181

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Least Common Multiple of 79831 and 79851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79831 and 79851, than apply into the LCM equation.

GCF(79831,79851) = 1
LCM(79831,79851) = ( 79831 × 79851) / 1
LCM(79831,79851) = 6374585181 / 1
LCM(79831,79851) = 6374585181

Least Common Multiple (LCM) of 79831 and 79851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79831 and 79851. First we will calculate the prime factors of 79831 and 79851.

Prime Factorization of 79831

Prime factors of 79831 are 97, 823. Prime factorization of 79831 in exponential form is:

79831 = 971 × 8231

Prime Factorization of 79851

Prime factors of 79851 are 3, 43, 619. Prime factorization of 79851 in exponential form is:

79851 = 31 × 431 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 79831 and 79851.

LCM(79831,79851) = 971 × 8231 × 31 × 431 × 6191
LCM(79831,79851) = 6374585181