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What is the Least Common Multiple of 68943 and 68959?

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 68943 and 68959 is 4754240337.

LCM(68943,68959) = 4754240337

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Least Common Multiple of 68943 and 68959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68943 and 68959, than apply into the LCM equation.

GCF(68943,68959) = 1
LCM(68943,68959) = ( 68943 × 68959) / 1
LCM(68943,68959) = 4754240337 / 1
LCM(68943,68959) = 4754240337

Least Common Multiple (LCM) of 68943 and 68959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68943 and 68959. First we will calculate the prime factors of 68943 and 68959.

Prime Factorization of 68943

Prime factors of 68943 are 3, 7, 67. Prime factorization of 68943 in exponential form is:

68943 = 31 × 73 × 671

Prime Factorization of 68959

Prime factors of 68959 are 11, 6269. Prime factorization of 68959 in exponential form is:

68959 = 111 × 62691

Now multiplying the highest exponent prime factors to calculate the LCM of 68943 and 68959.

LCM(68943,68959) = 31 × 73 × 671 × 111 × 62691
LCM(68943,68959) = 4754240337