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What is the Least Common Multiple of 68563 and 68574?

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 68563 and 68574 is 427421742.

LCM(68563,68574) = 427421742

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Least Common Multiple of 68563 and 68574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68563 and 68574, than apply into the LCM equation.

GCF(68563,68574) = 11
LCM(68563,68574) = ( 68563 × 68574) / 11
LCM(68563,68574) = 4701639162 / 11
LCM(68563,68574) = 427421742

Least Common Multiple (LCM) of 68563 and 68574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68563 and 68574. First we will calculate the prime factors of 68563 and 68574.

Prime Factorization of 68563

Prime factors of 68563 are 11, 23, 271. Prime factorization of 68563 in exponential form is:

68563 = 111 × 231 × 2711

Prime Factorization of 68574

Prime factors of 68574 are 2, 3, 11, 1039. Prime factorization of 68574 in exponential form is:

68574 = 21 × 31 × 111 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 68563 and 68574.

LCM(68563,68574) = 111 × 231 × 2711 × 21 × 31 × 10391
LCM(68563,68574) = 427421742