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What is the Least Common Multiple of 68963 and 68974?

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 68963 and 68974 is 4756653962.

LCM(68963,68974) = 4756653962

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Least Common Multiple of 68963 and 68974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68963 and 68974, than apply into the LCM equation.

GCF(68963,68974) = 1
LCM(68963,68974) = ( 68963 × 68974) / 1
LCM(68963,68974) = 4756653962 / 1
LCM(68963,68974) = 4756653962

Least Common Multiple (LCM) of 68963 and 68974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68963 and 68974. First we will calculate the prime factors of 68963 and 68974.

Prime Factorization of 68963

Prime factors of 68963 are 68963. Prime factorization of 68963 in exponential form is:

68963 = 689631

Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 21 × 344871

Now multiplying the highest exponent prime factors to calculate the LCM of 68963 and 68974.

LCM(68963,68974) = 689631 × 21 × 344871
LCM(68963,68974) = 4756653962