What is the Least Common Multiple of 41201 and 41206?
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 41201 and 41206 is 1697728406.
LCM(41201,41206) = 1697728406
Least Common Multiple of 41201 and 41206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41201 and 41206, than apply into the LCM equation.
GCF(41201,41206) = 1
LCM(41201,41206) = ( 41201 × 41206) / 1
LCM(41201,41206) = 1697728406 / 1
LCM(41201,41206) = 1697728406
Least Common Multiple (LCM) of 41201 and 41206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41201 and 41206. First we will calculate the prime factors of 41201 and 41206.
Prime Factorization of 41201
Prime factors of 41201 are 41201. Prime factorization of 41201 in exponential form is:
41201 = 412011
Prime Factorization of 41206
Prime factors of 41206 are 2, 11, 1873. Prime factorization of 41206 in exponential form is:
41206 = 21 × 111 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 41201 and 41206.
LCM(41201,41206) = 412011 × 21 × 111 × 18731
LCM(41201,41206) = 1697728406
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