What is the Least Common Multiple of 41429 and 41436?
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 41429 and 41436 is 1716652044.
LCM(41429,41436) = 1716652044
Least Common Multiple of 41429 and 41436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41429 and 41436, than apply into the LCM equation.
GCF(41429,41436) = 1
LCM(41429,41436) = ( 41429 × 41436) / 1
LCM(41429,41436) = 1716652044 / 1
LCM(41429,41436) = 1716652044
Least Common Multiple (LCM) of 41429 and 41436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41429 and 41436. First we will calculate the prime factors of 41429 and 41436.
Prime Factorization of 41429
Prime factors of 41429 are 17, 2437. Prime factorization of 41429 in exponential form is:
41429 = 171 × 24371
Prime Factorization of 41436
Prime factors of 41436 are 2, 3, 1151. Prime factorization of 41436 in exponential form is:
41436 = 22 × 32 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 41429 and 41436.
LCM(41429,41436) = 171 × 24371 × 22 × 32 × 11511
LCM(41429,41436) = 1716652044
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