What is the Least Common Multiple of 42473 and 42493?
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 42473 and 42493 is 1804805189.
LCM(42473,42493) = 1804805189
Least Common Multiple of 42473 and 42493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42473 and 42493, than apply into the LCM equation.
GCF(42473,42493) = 1
LCM(42473,42493) = ( 42473 × 42493) / 1
LCM(42473,42493) = 1804805189 / 1
LCM(42473,42493) = 1804805189
Least Common Multiple (LCM) of 42473 and 42493 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42473 and 42493. First we will calculate the prime factors of 42473 and 42493.
Prime Factorization of 42473
Prime factors of 42473 are 42473. Prime factorization of 42473 in exponential form is:
42473 = 424731
Prime Factorization of 42493
Prime factors of 42493 are 11, 3863. Prime factorization of 42493 in exponential form is:
42493 = 111 × 38631
Now multiplying the highest exponent prime factors to calculate the LCM of 42473 and 42493.
LCM(42473,42493) = 424731 × 111 × 38631
LCM(42473,42493) = 1804805189
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