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What is the Least Common Multiple of 92611 and 92628?

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 92611 and 92628 is 8578371708.

LCM(92611,92628) = 8578371708

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Least Common Multiple of 92611 and 92628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92611 and 92628, than apply into the LCM equation.

GCF(92611,92628) = 1
LCM(92611,92628) = ( 92611 × 92628) / 1
LCM(92611,92628) = 8578371708 / 1
LCM(92611,92628) = 8578371708

Least Common Multiple (LCM) of 92611 and 92628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92611 and 92628. First we will calculate the prime factors of 92611 and 92628.

Prime Factorization of 92611

Prime factors of 92611 are 37, 2503. Prime factorization of 92611 in exponential form is:

92611 = 371 × 25031

Prime Factorization of 92628

Prime factors of 92628 are 2, 3, 31, 83. Prime factorization of 92628 in exponential form is:

92628 = 22 × 32 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 92611 and 92628.

LCM(92611,92628) = 371 × 25031 × 22 × 32 × 311 × 831
LCM(92611,92628) = 8578371708