What is the Least Common Multiple of 41069 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 41069 and 41079 is 1687073451.
LCM(41069,41079) = 1687073451
Least Common Multiple of 41069 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 41069 and 41079, than apply into the LCM equation.
GCF(41069,41079) = 1
LCM(41069,41079) = ( 41069 × 41079) / 1
LCM(41069,41079) = 1687073451 / 1
LCM(41069,41079) = 1687073451
Least Common Multiple (LCM) of 41069 and 41079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41069 and 41079. First we will calculate the prime factors of 41069 and 41079.
Prime Factorization of 41069
Prime factors of 41069 are 7, 5867. Prime factorization of 41069 in exponential form is:
41069 = 71 × 58671
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 41069 and 41079.
LCM(41069,41079) = 71 × 58671 × 31 × 136931
LCM(41069,41079) = 1687073451
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