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What is the Least Common Multiple of 68776 and 68796?

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 68776 and 68796 is 1182878424.

LCM(68776,68796) = 1182878424

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Least Common Multiple of 68776 and 68796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68776 and 68796, than apply into the LCM equation.

GCF(68776,68796) = 4
LCM(68776,68796) = ( 68776 × 68796) / 4
LCM(68776,68796) = 4731513696 / 4
LCM(68776,68796) = 1182878424

Least Common Multiple (LCM) of 68776 and 68796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68776 and 68796. First we will calculate the prime factors of 68776 and 68796.

Prime Factorization of 68776

Prime factors of 68776 are 2, 8597. Prime factorization of 68776 in exponential form is:

68776 = 23 × 85971

Prime Factorization of 68796

Prime factors of 68796 are 2, 3, 7, 13. Prime factorization of 68796 in exponential form is:

68796 = 22 × 33 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 68776 and 68796.

LCM(68776,68796) = 23 × 85971 × 33 × 72 × 131
LCM(68776,68796) = 1182878424