What is the Least Common Multiple of 42183 and 42187?
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 42183 and 42187 is 1779574221.
LCM(42183,42187) = 1779574221
Least Common Multiple of 42183 and 42187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42183 and 42187, than apply into the LCM equation.
GCF(42183,42187) = 1
LCM(42183,42187) = ( 42183 × 42187) / 1
LCM(42183,42187) = 1779574221 / 1
LCM(42183,42187) = 1779574221
Least Common Multiple (LCM) of 42183 and 42187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42183 and 42187. First we will calculate the prime factors of 42183 and 42187.
Prime Factorization of 42183
Prime factors of 42183 are 3, 43, 109. Prime factorization of 42183 in exponential form is:
42183 = 32 × 431 × 1091
Prime Factorization of 42187
Prime factors of 42187 are 42187. Prime factorization of 42187 in exponential form is:
42187 = 421871
Now multiplying the highest exponent prime factors to calculate the LCM of 42183 and 42187.
LCM(42183,42187) = 32 × 431 × 1091 × 421871
LCM(42183,42187) = 1779574221
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