What is the Least Common Multiple of 70832 and 70851?
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 70832 and 70851 is 264132528.
LCM(70832,70851) = 264132528
Least Common Multiple of 70832 and 70851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70832 and 70851, than apply into the LCM equation.
GCF(70832,70851) = 19
LCM(70832,70851) = ( 70832 × 70851) / 19
LCM(70832,70851) = 5018518032 / 19
LCM(70832,70851) = 264132528
Least Common Multiple (LCM) of 70832 and 70851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70832 and 70851. First we will calculate the prime factors of 70832 and 70851.
Prime Factorization of 70832
Prime factors of 70832 are 2, 19, 233. Prime factorization of 70832 in exponential form is:
70832 = 24 × 191 × 2331
Prime Factorization of 70851
Prime factors of 70851 are 3, 11, 19, 113. Prime factorization of 70851 in exponential form is:
70851 = 31 × 111 × 191 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 70832 and 70851.
LCM(70832,70851) = 24 × 191 × 2331 × 31 × 111 × 1131
LCM(70832,70851) = 264132528
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