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What is the Least Common Multiple of 68596 and 68608?

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 68596 and 68608 is 1176558592.

LCM(68596,68608) = 1176558592

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Least Common Multiple of 68596 and 68608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68596 and 68608, than apply into the LCM equation.

GCF(68596,68608) = 4
LCM(68596,68608) = ( 68596 × 68608) / 4
LCM(68596,68608) = 4706234368 / 4
LCM(68596,68608) = 1176558592

Least Common Multiple (LCM) of 68596 and 68608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68596 and 68608. First we will calculate the prime factors of 68596 and 68608.

Prime Factorization of 68596

Prime factors of 68596 are 2, 11, 1559. Prime factorization of 68596 in exponential form is:

68596 = 22 × 111 × 15591

Prime Factorization of 68608

Prime factors of 68608 are 2, 67. Prime factorization of 68608 in exponential form is:

68608 = 210 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 68596 and 68608.

LCM(68596,68608) = 210 × 111 × 15591 × 671
LCM(68596,68608) = 1176558592