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What is the Least Common Multiple of 68874 and 68879?

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 68874 and 68879 is 4743972246.

LCM(68874,68879) = 4743972246

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Least Common Multiple of 68874 and 68879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68874 and 68879, than apply into the LCM equation.

GCF(68874,68879) = 1
LCM(68874,68879) = ( 68874 × 68879) / 1
LCM(68874,68879) = 4743972246 / 1
LCM(68874,68879) = 4743972246

Least Common Multiple (LCM) of 68874 and 68879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68874 and 68879. First we will calculate the prime factors of 68874 and 68879.

Prime Factorization of 68874

Prime factors of 68874 are 2, 3, 13, 883. Prime factorization of 68874 in exponential form is:

68874 = 21 × 31 × 131 × 8831

Prime Factorization of 68879

Prime factors of 68879 are 68879. Prime factorization of 68879 in exponential form is:

68879 = 688791

Now multiplying the highest exponent prime factors to calculate the LCM of 68874 and 68879.

LCM(68874,68879) = 21 × 31 × 131 × 8831 × 688791
LCM(68874,68879) = 4743972246