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What is the Least Common Multiple of 68956 and 68970?

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 68970 is 2377947660.

LCM(68956,68970) = 2377947660

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Least Common Multiple of 68956 and 68970 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 68970, than apply into the LCM equation.

GCF(68956,68970) = 2
LCM(68956,68970) = ( 68956 × 68970) / 2
LCM(68956,68970) = 4755895320 / 2
LCM(68956,68970) = 2377947660

Least Common Multiple (LCM) of 68956 and 68970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68956 and 68970. First we will calculate the prime factors of 68956 and 68970.

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 68970

Prime factors of 68970 are 2, 3, 5, 11, 19. Prime factorization of 68970 in exponential form is:

68970 = 21 × 31 × 51 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 68956 and 68970.

LCM(68956,68970) = 22 × 172391 × 31 × 51 × 112 × 191
LCM(68956,68970) = 2377947660