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What is the Least Common Multiple of 67963 and 67973?

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 67963 and 67973 is 4619648999.

LCM(67963,67973) = 4619648999

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Least Common Multiple of 67963 and 67973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67963 and 67973, than apply into the LCM equation.

GCF(67963,67973) = 1
LCM(67963,67973) = ( 67963 × 67973) / 1
LCM(67963,67973) = 4619648999 / 1
LCM(67963,67973) = 4619648999

Least Common Multiple (LCM) of 67963 and 67973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67963 and 67973. First we will calculate the prime factors of 67963 and 67973.

Prime Factorization of 67963

Prime factors of 67963 are 7, 19, 73. Prime factorization of 67963 in exponential form is:

67963 = 72 × 191 × 731

Prime Factorization of 67973

Prime factors of 67973 are 101, 673. Prime factorization of 67973 in exponential form is:

67973 = 1011 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 67963 and 67973.

LCM(67963,67973) = 72 × 191 × 731 × 1011 × 6731
LCM(67963,67973) = 4619648999