What is the Least Common Multiple of 42836 and 42851?
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 42836 and 42851 is 1835565436.
LCM(42836,42851) = 1835565436
Least Common Multiple of 42836 and 42851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42836 and 42851, than apply into the LCM equation.
GCF(42836,42851) = 1
LCM(42836,42851) = ( 42836 × 42851) / 1
LCM(42836,42851) = 1835565436 / 1
LCM(42836,42851) = 1835565436
Least Common Multiple (LCM) of 42836 and 42851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42836 and 42851. First we will calculate the prime factors of 42836 and 42851.
Prime Factorization of 42836
Prime factors of 42836 are 2, 10709. Prime factorization of 42836 in exponential form is:
42836 = 22 × 107091
Prime Factorization of 42851
Prime factors of 42851 are 73, 587. Prime factorization of 42851 in exponential form is:
42851 = 731 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 42836 and 42851.
LCM(42836,42851) = 22 × 107091 × 731 × 5871
LCM(42836,42851) = 1835565436
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