What is the Least Common Multiple of 62037 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 62037 and 62055 is 427745115.
LCM(62037,62055) = 427745115
Least Common Multiple of 62037 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 62037 and 62055, than apply into the LCM equation.
GCF(62037,62055) = 9
LCM(62037,62055) = ( 62037 × 62055) / 9
LCM(62037,62055) = 3849706035 / 9
LCM(62037,62055) = 427745115
Least Common Multiple (LCM) of 62037 and 62055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62037 and 62055. First we will calculate the prime factors of 62037 and 62055.
Prime Factorization of 62037
Prime factors of 62037 are 3, 61, 113. Prime factorization of 62037 in exponential form is:
62037 = 32 × 611 × 1131
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 62037 and 62055.
LCM(62037,62055) = 32 × 611 × 1131 × 51 × 71 × 1971
LCM(62037,62055) = 427745115
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