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What is the Least Common Multiple of 67552 and 67570?

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 67552 and 67570 is 2282244320.

LCM(67552,67570) = 2282244320

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Least Common Multiple of 67552 and 67570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67552 and 67570, than apply into the LCM equation.

GCF(67552,67570) = 2
LCM(67552,67570) = ( 67552 × 67570) / 2
LCM(67552,67570) = 4564488640 / 2
LCM(67552,67570) = 2282244320

Least Common Multiple (LCM) of 67552 and 67570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67552 and 67570. First we will calculate the prime factors of 67552 and 67570.

Prime Factorization of 67552

Prime factors of 67552 are 2, 2111. Prime factorization of 67552 in exponential form is:

67552 = 25 × 21111

Prime Factorization of 67570

Prime factors of 67570 are 2, 5, 29, 233. Prime factorization of 67570 in exponential form is:

67570 = 21 × 51 × 291 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 67552 and 67570.

LCM(67552,67570) = 25 × 21111 × 51 × 291 × 2331
LCM(67552,67570) = 2282244320