What is the Least Common Multiple of 42829 and 42840?
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 42829 and 42840 is 1834794360.
LCM(42829,42840) = 1834794360
Least Common Multiple of 42829 and 42840 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42829 and 42840, than apply into the LCM equation.
GCF(42829,42840) = 1
LCM(42829,42840) = ( 42829 × 42840) / 1
LCM(42829,42840) = 1834794360 / 1
LCM(42829,42840) = 1834794360
Least Common Multiple (LCM) of 42829 and 42840 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42829 and 42840. First we will calculate the prime factors of 42829 and 42840.
Prime Factorization of 42829
Prime factors of 42829 are 42829. Prime factorization of 42829 in exponential form is:
42829 = 428291
Prime Factorization of 42840
Prime factors of 42840 are 2, 3, 5, 7, 17. Prime factorization of 42840 in exponential form is:
42840 = 23 × 32 × 51 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 42829 and 42840.
LCM(42829,42840) = 428291 × 23 × 32 × 51 × 71 × 171
LCM(42829,42840) = 1834794360
Related Least Common Multiples of 42829
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- LCM of 42829 and 42840
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Related Least Common Multiples of 42840
- LCM of 42840 and 42844
- LCM of 42840 and 42845
- LCM of 42840 and 42846
- LCM of 42840 and 42847
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- LCM of 42840 and 42850
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