What is the Least Common Multiple of 44126 and 44134?
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 44126 and 44134 is 973728442.
LCM(44126,44134) = 973728442
Least Common Multiple of 44126 and 44134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44126 and 44134, than apply into the LCM equation.
GCF(44126,44134) = 2
LCM(44126,44134) = ( 44126 × 44134) / 2
LCM(44126,44134) = 1947456884 / 2
LCM(44126,44134) = 973728442
Least Common Multiple (LCM) of 44126 and 44134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44126 and 44134. First we will calculate the prime factors of 44126 and 44134.
Prime Factorization of 44126
Prime factors of 44126 are 2, 22063. Prime factorization of 44126 in exponential form is:
44126 = 21 × 220631
Prime Factorization of 44134
Prime factors of 44134 are 2, 22067. Prime factorization of 44134 in exponential form is:
44134 = 21 × 220671
Now multiplying the highest exponent prime factors to calculate the LCM of 44126 and 44134.
LCM(44126,44134) = 21 × 220631 × 220671
LCM(44126,44134) = 973728442
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