What is the Least Common Multiple of 41803 and 41815?
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 41803 and 41815 is 1747992445.
LCM(41803,41815) = 1747992445
Least Common Multiple of 41803 and 41815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41803 and 41815, than apply into the LCM equation.
GCF(41803,41815) = 1
LCM(41803,41815) = ( 41803 × 41815) / 1
LCM(41803,41815) = 1747992445 / 1
LCM(41803,41815) = 1747992445
Least Common Multiple (LCM) of 41803 and 41815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41803 and 41815. First we will calculate the prime factors of 41803 and 41815.
Prime Factorization of 41803
Prime factors of 41803 are 17, 2459. Prime factorization of 41803 in exponential form is:
41803 = 171 × 24591
Prime Factorization of 41815
Prime factors of 41815 are 5, 8363. Prime factorization of 41815 in exponential form is:
41815 = 51 × 83631
Now multiplying the highest exponent prime factors to calculate the LCM of 41803 and 41815.
LCM(41803,41815) = 171 × 24591 × 51 × 83631
LCM(41803,41815) = 1747992445
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