What is the Least Common Multiple of 44607 and 44615?
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 44607 and 44615 is 1990141305.
LCM(44607,44615) = 1990141305
Least Common Multiple of 44607 and 44615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44607 and 44615, than apply into the LCM equation.
GCF(44607,44615) = 1
LCM(44607,44615) = ( 44607 × 44615) / 1
LCM(44607,44615) = 1990141305 / 1
LCM(44607,44615) = 1990141305
Least Common Multiple (LCM) of 44607 and 44615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44607 and 44615. First we will calculate the prime factors of 44607 and 44615.
Prime Factorization of 44607
Prime factors of 44607 are 3, 14869. Prime factorization of 44607 in exponential form is:
44607 = 31 × 148691
Prime Factorization of 44615
Prime factors of 44615 are 5, 8923. Prime factorization of 44615 in exponential form is:
44615 = 51 × 89231
Now multiplying the highest exponent prime factors to calculate the LCM of 44607 and 44615.
LCM(44607,44615) = 31 × 148691 × 51 × 89231
LCM(44607,44615) = 1990141305
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