What is the Least Common Multiple of 62061 and 62078?
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 62061 and 62078 is 3852622758.
LCM(62061,62078) = 3852622758
Least Common Multiple of 62061 and 62078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62061 and 62078, than apply into the LCM equation.
GCF(62061,62078) = 1
LCM(62061,62078) = ( 62061 × 62078) / 1
LCM(62061,62078) = 3852622758 / 1
LCM(62061,62078) = 3852622758
Least Common Multiple (LCM) of 62061 and 62078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62061 and 62078. First we will calculate the prime factors of 62061 and 62078.
Prime Factorization of 62061
Prime factors of 62061 are 3, 137, 151. Prime factorization of 62061 in exponential form is:
62061 = 31 × 1371 × 1511
Prime Factorization of 62078
Prime factors of 62078 are 2, 31039. Prime factorization of 62078 in exponential form is:
62078 = 21 × 310391
Now multiplying the highest exponent prime factors to calculate the LCM of 62061 and 62078.
LCM(62061,62078) = 31 × 1371 × 1511 × 21 × 310391
LCM(62061,62078) = 3852622758
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