What is the Least Common Multiple of 62381 and 62391?
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 62381 and 62391 is 3892012971.
LCM(62381,62391) = 3892012971
Least Common Multiple of 62381 and 62391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62381 and 62391, than apply into the LCM equation.
GCF(62381,62391) = 1
LCM(62381,62391) = ( 62381 × 62391) / 1
LCM(62381,62391) = 3892012971 / 1
LCM(62381,62391) = 3892012971
Least Common Multiple (LCM) of 62381 and 62391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62381 and 62391. First we will calculate the prime factors of 62381 and 62391.
Prime Factorization of 62381
Prime factors of 62381 are 11, 53, 107. Prime factorization of 62381 in exponential form is:
62381 = 111 × 531 × 1071
Prime Factorization of 62391
Prime factors of 62391 are 3, 7, 2971. Prime factorization of 62391 in exponential form is:
62391 = 31 × 71 × 29711
Now multiplying the highest exponent prime factors to calculate the LCM of 62381 and 62391.
LCM(62381,62391) = 111 × 531 × 1071 × 31 × 71 × 29711
LCM(62381,62391) = 3892012971
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