What is the Least Common Multiple of 41070 and 41081?
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 41070 and 41081 is 1687196670.
LCM(41070,41081) = 1687196670
Least Common Multiple of 41070 and 41081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41070 and 41081, than apply into the LCM equation.
GCF(41070,41081) = 1
LCM(41070,41081) = ( 41070 × 41081) / 1
LCM(41070,41081) = 1687196670 / 1
LCM(41070,41081) = 1687196670
Least Common Multiple (LCM) of 41070 and 41081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41070 and 41081. First we will calculate the prime factors of 41070 and 41081.
Prime Factorization of 41070
Prime factors of 41070 are 2, 3, 5, 37. Prime factorization of 41070 in exponential form is:
41070 = 21 × 31 × 51 × 372
Prime Factorization of 41081
Prime factors of 41081 are 41081. Prime factorization of 41081 in exponential form is:
41081 = 410811
Now multiplying the highest exponent prime factors to calculate the LCM of 41070 and 41081.
LCM(41070,41081) = 21 × 31 × 51 × 372 × 410811
LCM(41070,41081) = 1687196670
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