What is the Least Common Multiple of 42947 and 42967?
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 42947 and 42967 is 1845303749.
LCM(42947,42967) = 1845303749
Least Common Multiple of 42947 and 42967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42947 and 42967, than apply into the LCM equation.
GCF(42947,42967) = 1
LCM(42947,42967) = ( 42947 × 42967) / 1
LCM(42947,42967) = 1845303749 / 1
LCM(42947,42967) = 1845303749
Least Common Multiple (LCM) of 42947 and 42967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42947 and 42967. First we will calculate the prime factors of 42947 and 42967.
Prime Factorization of 42947
Prime factors of 42947 are 67, 641. Prime factorization of 42947 in exponential form is:
42947 = 671 × 6411
Prime Factorization of 42967
Prime factors of 42967 are 42967. Prime factorization of 42967 in exponential form is:
42967 = 429671
Now multiplying the highest exponent prime factors to calculate the LCM of 42947 and 42967.
LCM(42947,42967) = 671 × 6411 × 429671
LCM(42947,42967) = 1845303749
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