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What is the Least Common Multiple of 68894 and 68913?

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 68894 and 68913 is 249878538.

LCM(68894,68913) = 249878538

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Least Common Multiple of 68894 and 68913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68894 and 68913, than apply into the LCM equation.

GCF(68894,68913) = 19
LCM(68894,68913) = ( 68894 × 68913) / 19
LCM(68894,68913) = 4747692222 / 19
LCM(68894,68913) = 249878538

Least Common Multiple (LCM) of 68894 and 68913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68894 and 68913. First we will calculate the prime factors of 68894 and 68913.

Prime Factorization of 68894

Prime factors of 68894 are 2, 7, 19, 37. Prime factorization of 68894 in exponential form is:

68894 = 21 × 72 × 191 × 371

Prime Factorization of 68913

Prime factors of 68913 are 3, 13, 19, 31. Prime factorization of 68913 in exponential form is:

68913 = 32 × 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 68894 and 68913.

LCM(68894,68913) = 21 × 72 × 191 × 371 × 32 × 131 × 311
LCM(68894,68913) = 249878538