What is the Least Common Multiple of 44476 and 44495?
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 44476 and 44495 is 1978959620.
LCM(44476,44495) = 1978959620
Least Common Multiple of 44476 and 44495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44476 and 44495, than apply into the LCM equation.
GCF(44476,44495) = 1
LCM(44476,44495) = ( 44476 × 44495) / 1
LCM(44476,44495) = 1978959620 / 1
LCM(44476,44495) = 1978959620
Least Common Multiple (LCM) of 44476 and 44495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44476 and 44495. First we will calculate the prime factors of 44476 and 44495.
Prime Factorization of 44476
Prime factors of 44476 are 2, 11119. Prime factorization of 44476 in exponential form is:
44476 = 22 × 111191
Prime Factorization of 44495
Prime factors of 44495 are 5, 11, 809. Prime factorization of 44495 in exponential form is:
44495 = 51 × 111 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 44476 and 44495.
LCM(44476,44495) = 22 × 111191 × 51 × 111 × 8091
LCM(44476,44495) = 1978959620
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