What is the Least Common Multiple of 41247 and 41257?
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 41247 and 41257 is 1701727479.
LCM(41247,41257) = 1701727479
Least Common Multiple of 41247 and 41257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41247 and 41257, than apply into the LCM equation.
GCF(41247,41257) = 1
LCM(41247,41257) = ( 41247 × 41257) / 1
LCM(41247,41257) = 1701727479 / 1
LCM(41247,41257) = 1701727479
Least Common Multiple (LCM) of 41247 and 41257 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41247 and 41257. First we will calculate the prime factors of 41247 and 41257.
Prime Factorization of 41247
Prime factors of 41247 are 3, 4583. Prime factorization of 41247 in exponential form is:
41247 = 32 × 45831
Prime Factorization of 41257
Prime factors of 41257 are 41257. Prime factorization of 41257 in exponential form is:
41257 = 412571
Now multiplying the highest exponent prime factors to calculate the LCM of 41247 and 41257.
LCM(41247,41257) = 32 × 45831 × 412571
LCM(41247,41257) = 1701727479
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