What is the Least Common Multiple of 42260 and 42279?
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 42260 and 42279 is 1786710540.
LCM(42260,42279) = 1786710540
Least Common Multiple of 42260 and 42279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42260 and 42279, than apply into the LCM equation.
GCF(42260,42279) = 1
LCM(42260,42279) = ( 42260 × 42279) / 1
LCM(42260,42279) = 1786710540 / 1
LCM(42260,42279) = 1786710540
Least Common Multiple (LCM) of 42260 and 42279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42260 and 42279. First we will calculate the prime factors of 42260 and 42279.
Prime Factorization of 42260
Prime factors of 42260 are 2, 5, 2113. Prime factorization of 42260 in exponential form is:
42260 = 22 × 51 × 21131
Prime Factorization of 42279
Prime factors of 42279 are 3, 17, 829. Prime factorization of 42279 in exponential form is:
42279 = 31 × 171 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 42260 and 42279.
LCM(42260,42279) = 22 × 51 × 21131 × 31 × 171 × 8291
LCM(42260,42279) = 1786710540
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