What is the Least Common Multiple of 25430 and 25434?
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 25430 and 25434 is 323393310.
LCM(25430,25434) = 323393310
Least Common Multiple of 25430 and 25434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25430 and 25434, than apply into the LCM equation.
GCF(25430,25434) = 2
LCM(25430,25434) = ( 25430 × 25434) / 2
LCM(25430,25434) = 646786620 / 2
LCM(25430,25434) = 323393310
Least Common Multiple (LCM) of 25430 and 25434 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25430 and 25434. First we will calculate the prime factors of 25430 and 25434.
Prime Factorization of 25430
Prime factors of 25430 are 2, 5, 2543. Prime factorization of 25430 in exponential form is:
25430 = 21 × 51 × 25431
Prime Factorization of 25434
Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:
25434 = 21 × 34 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 25430 and 25434.
LCM(25430,25434) = 21 × 51 × 25431 × 34 × 1571
LCM(25430,25434) = 323393310
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Related Least Common Multiples of 25434
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- LCM of 25434 and 25450
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