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What is the Least Common Multiple of 44525 and 44536?

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 44525 and 44536 is 1982965400.

LCM(44525,44536) = 1982965400

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Least Common Multiple of 44525 and 44536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44525 and 44536, than apply into the LCM equation.

GCF(44525,44536) = 1
LCM(44525,44536) = ( 44525 × 44536) / 1
LCM(44525,44536) = 1982965400 / 1
LCM(44525,44536) = 1982965400

Least Common Multiple (LCM) of 44525 and 44536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44525 and 44536. First we will calculate the prime factors of 44525 and 44536.

Prime Factorization of 44525

Prime factors of 44525 are 5, 13, 137. Prime factorization of 44525 in exponential form is:

44525 = 52 × 131 × 1371

Prime Factorization of 44536

Prime factors of 44536 are 2, 19, 293. Prime factorization of 44536 in exponential form is:

44536 = 23 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 44525 and 44536.

LCM(44525,44536) = 52 × 131 × 1371 × 23 × 191 × 2931
LCM(44525,44536) = 1982965400