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What is the Least Common Multiple of 68698 and 68712?

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 68698 and 68712 is 337169784.

LCM(68698,68712) = 337169784

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Least Common Multiple of 68698 and 68712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68698 and 68712, than apply into the LCM equation.

GCF(68698,68712) = 14
LCM(68698,68712) = ( 68698 × 68712) / 14
LCM(68698,68712) = 4720376976 / 14
LCM(68698,68712) = 337169784

Least Common Multiple (LCM) of 68698 and 68712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68698 and 68712. First we will calculate the prime factors of 68698 and 68712.

Prime Factorization of 68698

Prime factors of 68698 are 2, 7, 701. Prime factorization of 68698 in exponential form is:

68698 = 21 × 72 × 7011

Prime Factorization of 68712

Prime factors of 68712 are 2, 3, 7, 409. Prime factorization of 68712 in exponential form is:

68712 = 23 × 31 × 71 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 68698 and 68712.

LCM(68698,68712) = 23 × 72 × 7011 × 31 × 4091
LCM(68698,68712) = 337169784