What is the Least Common Multiple of 42538 and 42557?
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 42538 and 42557 is 1810289666.
LCM(42538,42557) = 1810289666
Least Common Multiple of 42538 and 42557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42538 and 42557, than apply into the LCM equation.
GCF(42538,42557) = 1
LCM(42538,42557) = ( 42538 × 42557) / 1
LCM(42538,42557) = 1810289666 / 1
LCM(42538,42557) = 1810289666
Least Common Multiple (LCM) of 42538 and 42557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42538 and 42557. First we will calculate the prime factors of 42538 and 42557.
Prime Factorization of 42538
Prime factors of 42538 are 2, 21269. Prime factorization of 42538 in exponential form is:
42538 = 21 × 212691
Prime Factorization of 42557
Prime factors of 42557 are 42557. Prime factorization of 42557 in exponential form is:
42557 = 425571
Now multiplying the highest exponent prime factors to calculate the LCM of 42538 and 42557.
LCM(42538,42557) = 21 × 212691 × 425571
LCM(42538,42557) = 1810289666
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