What is the Least Common Multiple of 42937 and 42947?
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 42937 and 42947 is 1844015339.
LCM(42937,42947) = 1844015339
Least Common Multiple of 42937 and 42947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42937 and 42947, than apply into the LCM equation.
GCF(42937,42947) = 1
LCM(42937,42947) = ( 42937 × 42947) / 1
LCM(42937,42947) = 1844015339 / 1
LCM(42937,42947) = 1844015339
Least Common Multiple (LCM) of 42937 and 42947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42937 and 42947. First we will calculate the prime factors of 42937 and 42947.
Prime Factorization of 42937
Prime factors of 42937 are 42937. Prime factorization of 42937 in exponential form is:
42937 = 429371
Prime Factorization of 42947
Prime factors of 42947 are 67, 641. Prime factorization of 42947 in exponential form is:
42947 = 671 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 42937 and 42947.
LCM(42937,42947) = 429371 × 671 × 6411
LCM(42937,42947) = 1844015339
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