What is the Least Common Multiple of 62351 and 62371?
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 62351 and 62371 is 3888894221.
LCM(62351,62371) = 3888894221
Least Common Multiple of 62351 and 62371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62351 and 62371, than apply into the LCM equation.
GCF(62351,62371) = 1
LCM(62351,62371) = ( 62351 × 62371) / 1
LCM(62351,62371) = 3888894221 / 1
LCM(62351,62371) = 3888894221
Least Common Multiple (LCM) of 62351 and 62371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62351 and 62371. First we will calculate the prime factors of 62351 and 62371.
Prime Factorization of 62351
Prime factors of 62351 are 62351. Prime factorization of 62351 in exponential form is:
62351 = 623511
Prime Factorization of 62371
Prime factors of 62371 are 97, 643. Prime factorization of 62371 in exponential form is:
62371 = 971 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 62351 and 62371.
LCM(62351,62371) = 623511 × 971 × 6431
LCM(62351,62371) = 3888894221
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