What is the Least Common Multiple of 44721 and 44727?
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 44721 and 44727 is 666745389.
LCM(44721,44727) = 666745389
Least Common Multiple of 44721 and 44727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44721 and 44727, than apply into the LCM equation.
GCF(44721,44727) = 3
LCM(44721,44727) = ( 44721 × 44727) / 3
LCM(44721,44727) = 2000236167 / 3
LCM(44721,44727) = 666745389
Least Common Multiple (LCM) of 44721 and 44727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44721 and 44727. First we will calculate the prime factors of 44721 and 44727.
Prime Factorization of 44721
Prime factors of 44721 are 3, 4969. Prime factorization of 44721 in exponential form is:
44721 = 32 × 49691
Prime Factorization of 44727
Prime factors of 44727 are 3, 17, 877. Prime factorization of 44727 in exponential form is:
44727 = 31 × 171 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 44721 and 44727.
LCM(44721,44727) = 32 × 49691 × 171 × 8771
LCM(44721,44727) = 666745389
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