What is the Least Common Multiple of 41847 and 41860?
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 41847 and 41860 is 134747340.
LCM(41847,41860) = 134747340
Least Common Multiple of 41847 and 41860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41847 and 41860, than apply into the LCM equation.
GCF(41847,41860) = 13
LCM(41847,41860) = ( 41847 × 41860) / 13
LCM(41847,41860) = 1751715420 / 13
LCM(41847,41860) = 134747340
Least Common Multiple (LCM) of 41847 and 41860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41847 and 41860. First we will calculate the prime factors of 41847 and 41860.
Prime Factorization of 41847
Prime factors of 41847 are 3, 13, 29, 37. Prime factorization of 41847 in exponential form is:
41847 = 31 × 131 × 291 × 371
Prime Factorization of 41860
Prime factors of 41860 are 2, 5, 7, 13, 23. Prime factorization of 41860 in exponential form is:
41860 = 22 × 51 × 71 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 41847 and 41860.
LCM(41847,41860) = 31 × 131 × 291 × 371 × 22 × 51 × 71 × 231
LCM(41847,41860) = 134747340
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