What is the Least Common Multiple of 62856 and 62861?
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 62856 and 62861 is 3951191016.
LCM(62856,62861) = 3951191016
Least Common Multiple of 62856 and 62861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62856 and 62861, than apply into the LCM equation.
GCF(62856,62861) = 1
LCM(62856,62861) = ( 62856 × 62861) / 1
LCM(62856,62861) = 3951191016 / 1
LCM(62856,62861) = 3951191016
Least Common Multiple (LCM) of 62856 and 62861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62856 and 62861. First we will calculate the prime factors of 62856 and 62861.
Prime Factorization of 62856
Prime factors of 62856 are 2, 3, 97. Prime factorization of 62856 in exponential form is:
62856 = 23 × 34 × 971
Prime Factorization of 62861
Prime factors of 62861 are 62861. Prime factorization of 62861 in exponential form is:
62861 = 628611
Now multiplying the highest exponent prime factors to calculate the LCM of 62856 and 62861.
LCM(62856,62861) = 23 × 34 × 971 × 628611
LCM(62856,62861) = 3951191016
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