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What is the Least Common Multiple of 92645 and 92652?

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 92645 and 92652 is 1226249220.

LCM(92645,92652) = 1226249220

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Least Common Multiple of 92645 and 92652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92645 and 92652, than apply into the LCM equation.

GCF(92645,92652) = 7
LCM(92645,92652) = ( 92645 × 92652) / 7
LCM(92645,92652) = 8583744540 / 7
LCM(92645,92652) = 1226249220

Least Common Multiple (LCM) of 92645 and 92652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92645 and 92652. First we will calculate the prime factors of 92645 and 92652.

Prime Factorization of 92645

Prime factors of 92645 are 5, 7, 2647. Prime factorization of 92645 in exponential form is:

92645 = 51 × 71 × 26471

Prime Factorization of 92652

Prime factors of 92652 are 2, 3, 7, 1103. Prime factorization of 92652 in exponential form is:

92652 = 22 × 31 × 71 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 92645 and 92652.

LCM(92645,92652) = 51 × 71 × 26471 × 22 × 31 × 11031
LCM(92645,92652) = 1226249220