What is the Least Common Multiple of 42915 and 42922?
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 42915 and 42922 is 1841997630.
LCM(42915,42922) = 1841997630
Least Common Multiple of 42915 and 42922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42915 and 42922, than apply into the LCM equation.
GCF(42915,42922) = 1
LCM(42915,42922) = ( 42915 × 42922) / 1
LCM(42915,42922) = 1841997630 / 1
LCM(42915,42922) = 1841997630
Least Common Multiple (LCM) of 42915 and 42922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42915 and 42922. First we will calculate the prime factors of 42915 and 42922.
Prime Factorization of 42915
Prime factors of 42915 are 3, 5, 2861. Prime factorization of 42915 in exponential form is:
42915 = 31 × 51 × 28611
Prime Factorization of 42922
Prime factors of 42922 are 2, 11, 1951. Prime factorization of 42922 in exponential form is:
42922 = 21 × 111 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 42915 and 42922.
LCM(42915,42922) = 31 × 51 × 28611 × 21 × 111 × 19511
LCM(42915,42922) = 1841997630
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Related Least Common Multiples of 42922
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