What is the Least Common Multiple of 62041 and 62055?
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 62041 and 62055 is 549993465.
LCM(62041,62055) = 549993465
Least Common Multiple of 62041 and 62055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62041 and 62055, than apply into the LCM equation.
GCF(62041,62055) = 7
LCM(62041,62055) = ( 62041 × 62055) / 7
LCM(62041,62055) = 3849954255 / 7
LCM(62041,62055) = 549993465
Least Common Multiple (LCM) of 62041 and 62055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62041 and 62055. First we will calculate the prime factors of 62041 and 62055.
Prime Factorization of 62041
Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:
62041 = 71 × 88631
Prime Factorization of 62055
Prime factors of 62055 are 3, 5, 7, 197. Prime factorization of 62055 in exponential form is:
62055 = 32 × 51 × 71 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 62041 and 62055.
LCM(62041,62055) = 71 × 88631 × 32 × 51 × 1971
LCM(62041,62055) = 549993465
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