What is the Least Common Multiple of 62832 and 62851?
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 62832 and 62851 is 3949054032.
LCM(62832,62851) = 3949054032
Least Common Multiple of 62832 and 62851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62832 and 62851, than apply into the LCM equation.
GCF(62832,62851) = 1
LCM(62832,62851) = ( 62832 × 62851) / 1
LCM(62832,62851) = 3949054032 / 1
LCM(62832,62851) = 3949054032
Least Common Multiple (LCM) of 62832 and 62851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62832 and 62851. First we will calculate the prime factors of 62832 and 62851.
Prime Factorization of 62832
Prime factors of 62832 are 2, 3, 7, 11, 17. Prime factorization of 62832 in exponential form is:
62832 = 24 × 31 × 71 × 111 × 171
Prime Factorization of 62851
Prime factors of 62851 are 62851. Prime factorization of 62851 in exponential form is:
62851 = 628511
Now multiplying the highest exponent prime factors to calculate the LCM of 62832 and 62851.
LCM(62832,62851) = 24 × 31 × 71 × 111 × 171 × 628511
LCM(62832,62851) = 3949054032
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