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What is the Least Common Multiple of 68563 and 68572?

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 68572 is 4701502036.

LCM(68563,68572) = 4701502036

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Least Common Multiple of 68563 and 68572 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 68572, than apply into the LCM equation.

GCF(68563,68572) = 1
LCM(68563,68572) = ( 68563 × 68572) / 1
LCM(68563,68572) = 4701502036 / 1
LCM(68563,68572) = 4701502036

Least Common Multiple (LCM) of 68563 and 68572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68563 and 68572. First we will calculate the prime factors of 68563 and 68572.

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 68572

Prime factors of 68572 are 2, 7, 31, 79. Prime factorization of 68572 in exponential form is:

68572 = 22 × 71 × 311 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 68563 and 68572.

LCM(68563,68572) = 111 × 231 × 2711 × 22 × 71 × 311 × 791
LCM(68563,68572) = 4701502036