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What is the Least Common Multiple of 68528 and 68533?

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 68528 and 68533 is 4696429424.

LCM(68528,68533) = 4696429424

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Least Common Multiple of 68528 and 68533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68528 and 68533, than apply into the LCM equation.

GCF(68528,68533) = 1
LCM(68528,68533) = ( 68528 × 68533) / 1
LCM(68528,68533) = 4696429424 / 1
LCM(68528,68533) = 4696429424

Least Common Multiple (LCM) of 68528 and 68533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68528 and 68533. First we will calculate the prime factors of 68528 and 68533.

Prime Factorization of 68528

Prime factors of 68528 are 2, 4283. Prime factorization of 68528 in exponential form is:

68528 = 24 × 42831

Prime Factorization of 68533

Prime factors of 68533 are 19, 3607. Prime factorization of 68533 in exponential form is:

68533 = 191 × 36071

Now multiplying the highest exponent prime factors to calculate the LCM of 68528 and 68533.

LCM(68528,68533) = 24 × 42831 × 191 × 36071
LCM(68528,68533) = 4696429424