What is the Least Common Multiple of 42674 and 42690?
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 42674 and 42690 is 910876530.
LCM(42674,42690) = 910876530
Least Common Multiple of 42674 and 42690 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42674 and 42690, than apply into the LCM equation.
GCF(42674,42690) = 2
LCM(42674,42690) = ( 42674 × 42690) / 2
LCM(42674,42690) = 1821753060 / 2
LCM(42674,42690) = 910876530
Least Common Multiple (LCM) of 42674 and 42690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42674 and 42690. First we will calculate the prime factors of 42674 and 42690.
Prime Factorization of 42674
Prime factors of 42674 are 2, 19, 1123. Prime factorization of 42674 in exponential form is:
42674 = 21 × 191 × 11231
Prime Factorization of 42690
Prime factors of 42690 are 2, 3, 5, 1423. Prime factorization of 42690 in exponential form is:
42690 = 21 × 31 × 51 × 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 42674 and 42690.
LCM(42674,42690) = 21 × 191 × 11231 × 31 × 51 × 14231
LCM(42674,42690) = 910876530
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