What is the Least Common Multiple of 14624 and 14628?
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 14624 and 14628 is 53479968.
LCM(14624,14628) = 53479968
Least Common Multiple of 14624 and 14628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14624 and 14628, than apply into the LCM equation.
GCF(14624,14628) = 4
LCM(14624,14628) = ( 14624 × 14628) / 4
LCM(14624,14628) = 213919872 / 4
LCM(14624,14628) = 53479968
Least Common Multiple (LCM) of 14624 and 14628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14624 and 14628. First we will calculate the prime factors of 14624 and 14628.
Prime Factorization of 14624
Prime factors of 14624 are 2, 457. Prime factorization of 14624 in exponential form is:
14624 = 25 × 4571
Prime Factorization of 14628
Prime factors of 14628 are 2, 3, 23, 53. Prime factorization of 14628 in exponential form is:
14628 = 22 × 31 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 14624 and 14628.
LCM(14624,14628) = 25 × 4571 × 31 × 231 × 531
LCM(14624,14628) = 53479968
Related Least Common Multiples of 14624
- LCM of 14624 and 14628
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Related Least Common Multiples of 14628
- LCM of 14628 and 14632
- LCM of 14628 and 14633
- LCM of 14628 and 14634
- LCM of 14628 and 14635
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- LCM of 14628 and 14638
- LCM of 14628 and 14639
- LCM of 14628 and 14640
- LCM of 14628 and 14641
- LCM of 14628 and 14642
- LCM of 14628 and 14643
- LCM of 14628 and 14644
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