What is the Least Common Multiple of 44657 and 44671?
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 44657 and 44671 is 1994872847.
LCM(44657,44671) = 1994872847
Least Common Multiple of 44657 and 44671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44657 and 44671, than apply into the LCM equation.
GCF(44657,44671) = 1
LCM(44657,44671) = ( 44657 × 44671) / 1
LCM(44657,44671) = 1994872847 / 1
LCM(44657,44671) = 1994872847
Least Common Multiple (LCM) of 44657 and 44671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44657 and 44671. First we will calculate the prime factors of 44657 and 44671.
Prime Factorization of 44657
Prime factors of 44657 are 44657. Prime factorization of 44657 in exponential form is:
44657 = 446571
Prime Factorization of 44671
Prime factors of 44671 are 11, 31, 131. Prime factorization of 44671 in exponential form is:
44671 = 111 × 311 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 44657 and 44671.
LCM(44657,44671) = 446571 × 111 × 311 × 1311
LCM(44657,44671) = 1994872847
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