What is the Least Common Multiple of 44772 and 44792?
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 44772 and 44792 is 501356856.
LCM(44772,44792) = 501356856
Least Common Multiple of 44772 and 44792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44772 and 44792, than apply into the LCM equation.
GCF(44772,44792) = 4
LCM(44772,44792) = ( 44772 × 44792) / 4
LCM(44772,44792) = 2005427424 / 4
LCM(44772,44792) = 501356856
Least Common Multiple (LCM) of 44772 and 44792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44772 and 44792. First we will calculate the prime factors of 44772 and 44792.
Prime Factorization of 44772
Prime factors of 44772 are 2, 3, 7, 13, 41. Prime factorization of 44772 in exponential form is:
44772 = 22 × 31 × 71 × 131 × 411
Prime Factorization of 44792
Prime factors of 44792 are 2, 11, 509. Prime factorization of 44792 in exponential form is:
44792 = 23 × 111 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 44772 and 44792.
LCM(44772,44792) = 23 × 31 × 71 × 131 × 411 × 111 × 5091
LCM(44772,44792) = 501356856
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