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What is the Least Common Multiple of 68961 and 68973?

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 68961 and 68973 is 1585482351.

LCM(68961,68973) = 1585482351

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Least Common Multiple of 68961 and 68973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68961 and 68973, than apply into the LCM equation.

GCF(68961,68973) = 3
LCM(68961,68973) = ( 68961 × 68973) / 3
LCM(68961,68973) = 4756447053 / 3
LCM(68961,68973) = 1585482351

Least Common Multiple (LCM) of 68961 and 68973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68961 and 68973. First we will calculate the prime factors of 68961 and 68973.

Prime Factorization of 68961

Prime factors of 68961 are 3, 127, 181. Prime factorization of 68961 in exponential form is:

68961 = 31 × 1271 × 1811

Prime Factorization of 68973

Prime factors of 68973 are 3, 83, 277. Prime factorization of 68973 in exponential form is:

68973 = 31 × 831 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 68961 and 68973.

LCM(68961,68973) = 31 × 1271 × 1811 × 831 × 2771
LCM(68961,68973) = 1585482351