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What is the Least Common Multiple of 68679 and 68698?

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 68679 and 68698 is 4718109942.

LCM(68679,68698) = 4718109942

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Least Common Multiple of 68679 and 68698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68679 and 68698, than apply into the LCM equation.

GCF(68679,68698) = 1
LCM(68679,68698) = ( 68679 × 68698) / 1
LCM(68679,68698) = 4718109942 / 1
LCM(68679,68698) = 4718109942

Least Common Multiple (LCM) of 68679 and 68698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68679 and 68698. First we will calculate the prime factors of 68679 and 68698.

Prime Factorization of 68679

Prime factors of 68679 are 3, 13, 587. Prime factorization of 68679 in exponential form is:

68679 = 32 × 131 × 5871

Prime Factorization of 68698

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

68698 = 21 × 72 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 68679 and 68698.

LCM(68679,68698) = 32 × 131 × 5871 × 21 × 72 × 7011
LCM(68679,68698) = 4718109942