What is the Least Common Multiple of 42776 and 42795?
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 42776 and 42795 is 1830598920.
LCM(42776,42795) = 1830598920
Least Common Multiple of 42776 and 42795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42776 and 42795, than apply into the LCM equation.
GCF(42776,42795) = 1
LCM(42776,42795) = ( 42776 × 42795) / 1
LCM(42776,42795) = 1830598920 / 1
LCM(42776,42795) = 1830598920
Least Common Multiple (LCM) of 42776 and 42795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42776 and 42795. First we will calculate the prime factors of 42776 and 42795.
Prime Factorization of 42776
Prime factors of 42776 are 2, 5347. Prime factorization of 42776 in exponential form is:
42776 = 23 × 53471
Prime Factorization of 42795
Prime factors of 42795 are 3, 5, 317. Prime factorization of 42795 in exponential form is:
42795 = 33 × 51 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 42776 and 42795.
LCM(42776,42795) = 23 × 53471 × 33 × 51 × 3171
LCM(42776,42795) = 1830598920
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