What is the Least Common Multiple of 41066 and 41079?
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 41066 and 41079 is 1686950214.
LCM(41066,41079) = 1686950214
Least Common Multiple of 41066 and 41079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41066 and 41079, than apply into the LCM equation.
GCF(41066,41079) = 1
LCM(41066,41079) = ( 41066 × 41079) / 1
LCM(41066,41079) = 1686950214 / 1
LCM(41066,41079) = 1686950214
Least Common Multiple (LCM) of 41066 and 41079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41066 and 41079. First we will calculate the prime factors of 41066 and 41079.
Prime Factorization of 41066
Prime factors of 41066 are 2, 20533. Prime factorization of 41066 in exponential form is:
41066 = 21 × 205331
Prime Factorization of 41079
Prime factors of 41079 are 3, 13693. Prime factorization of 41079 in exponential form is:
41079 = 31 × 136931
Now multiplying the highest exponent prime factors to calculate the LCM of 41066 and 41079.
LCM(41066,41079) = 21 × 205331 × 31 × 136931
LCM(41066,41079) = 1686950214
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