What is the Least Common Multiple of 42922 and 42927?
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 42922 and 42927 is 1842512694.
LCM(42922,42927) = 1842512694
Least Common Multiple of 42922 and 42927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42922 and 42927, than apply into the LCM equation.
GCF(42922,42927) = 1
LCM(42922,42927) = ( 42922 × 42927) / 1
LCM(42922,42927) = 1842512694 / 1
LCM(42922,42927) = 1842512694
Least Common Multiple (LCM) of 42922 and 42927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42922 and 42927. First we will calculate the prime factors of 42922 and 42927.
Prime Factorization of 42922
Prime factors of 42922 are 2, 11, 1951. Prime factorization of 42922 in exponential form is:
42922 = 21 × 111 × 19511
Prime Factorization of 42927
Prime factors of 42927 are 3, 41, 349. Prime factorization of 42927 in exponential form is:
42927 = 31 × 411 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 42922 and 42927.
LCM(42922,42927) = 21 × 111 × 19511 × 31 × 411 × 3491
LCM(42922,42927) = 1842512694
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