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What is the Least Common Multiple of 68956 and 68971?

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 68956 and 68971 is 4755964276.

LCM(68956,68971) = 4755964276

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Least Common Multiple of 68956 and 68971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68956 and 68971, than apply into the LCM equation.

GCF(68956,68971) = 1
LCM(68956,68971) = ( 68956 × 68971) / 1
LCM(68956,68971) = 4755964276 / 1
LCM(68956,68971) = 4755964276

Least Common Multiple (LCM) of 68956 and 68971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68956 and 68971. First we will calculate the prime factors of 68956 and 68971.

Prime Factorization of 68956

Prime factors of 68956 are 2, 17239. Prime factorization of 68956 in exponential form is:

68956 = 22 × 172391

Prime Factorization of 68971

Prime factors of 68971 are 7, 59, 167. Prime factorization of 68971 in exponential form is:

68971 = 71 × 591 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 68956 and 68971.

LCM(68956,68971) = 22 × 172391 × 71 × 591 × 1671
LCM(68956,68971) = 4755964276