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What is the Least Common Multiple of 45082 and 45100?

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 45082 and 45100 is 1016599100.

LCM(45082,45100) = 1016599100

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Least Common Multiple of 45082 and 45100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45082 and 45100, than apply into the LCM equation.

GCF(45082,45100) = 2
LCM(45082,45100) = ( 45082 × 45100) / 2
LCM(45082,45100) = 2033198200 / 2
LCM(45082,45100) = 1016599100

Least Common Multiple (LCM) of 45082 and 45100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45082 and 45100. First we will calculate the prime factors of 45082 and 45100.

Prime Factorization of 45082

Prime factors of 45082 are 2, 22541. Prime factorization of 45082 in exponential form is:

45082 = 21 × 225411

Prime Factorization of 45100

Prime factors of 45100 are 2, 5, 11, 41. Prime factorization of 45100 in exponential form is:

45100 = 22 × 52 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 45082 and 45100.

LCM(45082,45100) = 22 × 225411 × 52 × 111 × 411
LCM(45082,45100) = 1016599100