What is the Least Common Multiple of 42780 and 42790?
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 42780 and 42790 is 183055620.
LCM(42780,42790) = 183055620
Least Common Multiple of 42780 and 42790 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42780 and 42790, than apply into the LCM equation.
GCF(42780,42790) = 10
LCM(42780,42790) = ( 42780 × 42790) / 10
LCM(42780,42790) = 1830556200 / 10
LCM(42780,42790) = 183055620
Least Common Multiple (LCM) of 42780 and 42790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42780 and 42790. First we will calculate the prime factors of 42780 and 42790.
Prime Factorization of 42780
Prime factors of 42780 are 2, 3, 5, 23, 31. Prime factorization of 42780 in exponential form is:
42780 = 22 × 31 × 51 × 231 × 311
Prime Factorization of 42790
Prime factors of 42790 are 2, 5, 11, 389. Prime factorization of 42790 in exponential form is:
42790 = 21 × 51 × 111 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 42780 and 42790.
LCM(42780,42790) = 22 × 31 × 51 × 231 × 311 × 111 × 3891
LCM(42780,42790) = 183055620
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