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What is the Least Common Multiple of 68436 and 68456?

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 68436 and 68456 is 1171213704.

LCM(68436,68456) = 1171213704

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Least Common Multiple of 68436 and 68456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68436 and 68456, than apply into the LCM equation.

GCF(68436,68456) = 4
LCM(68436,68456) = ( 68436 × 68456) / 4
LCM(68436,68456) = 4684854816 / 4
LCM(68436,68456) = 1171213704

Least Common Multiple (LCM) of 68436 and 68456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68436 and 68456. First we will calculate the prime factors of 68436 and 68456.

Prime Factorization of 68436

Prime factors of 68436 are 2, 3, 1901. Prime factorization of 68436 in exponential form is:

68436 = 22 × 32 × 19011

Prime Factorization of 68456

Prime factors of 68456 are 2, 43, 199. Prime factorization of 68456 in exponential form is:

68456 = 23 × 431 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 68436 and 68456.

LCM(68436,68456) = 23 × 32 × 19011 × 431 × 1991
LCM(68436,68456) = 1171213704