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What is the Least Common Multiple of 67988 and 68001?

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 67988 and 68001 is 4623251988.

LCM(67988,68001) = 4623251988

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Least Common Multiple of 67988 and 68001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67988 and 68001, than apply into the LCM equation.

GCF(67988,68001) = 1
LCM(67988,68001) = ( 67988 × 68001) / 1
LCM(67988,68001) = 4623251988 / 1
LCM(67988,68001) = 4623251988

Least Common Multiple (LCM) of 67988 and 68001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67988 and 68001. First we will calculate the prime factors of 67988 and 68001.

Prime Factorization of 67988

Prime factors of 67988 are 2, 23, 739. Prime factorization of 67988 in exponential form is:

67988 = 22 × 231 × 7391

Prime Factorization of 68001

Prime factors of 68001 are 3, 19, 1193. Prime factorization of 68001 in exponential form is:

68001 = 31 × 191 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 67988 and 68001.

LCM(67988,68001) = 22 × 231 × 7391 × 31 × 191 × 11931
LCM(67988,68001) = 4623251988