What is the Least Common Multiple of 13623 and 13632?
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 13623 and 13632 is 61902912.
LCM(13623,13632) = 61902912
Least Common Multiple of 13623 and 13632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13623 and 13632, than apply into the LCM equation.
GCF(13623,13632) = 3
LCM(13623,13632) = ( 13623 × 13632) / 3
LCM(13623,13632) = 185708736 / 3
LCM(13623,13632) = 61902912
Least Common Multiple (LCM) of 13623 and 13632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13623 and 13632. First we will calculate the prime factors of 13623 and 13632.
Prime Factorization of 13623
Prime factors of 13623 are 3, 19, 239. Prime factorization of 13623 in exponential form is:
13623 = 31 × 191 × 2391
Prime Factorization of 13632
Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:
13632 = 26 × 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 13623 and 13632.
LCM(13623,13632) = 31 × 191 × 2391 × 26 × 711
LCM(13623,13632) = 61902912
Related Least Common Multiples of 13623
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- LCM of 13623 and 13632
- LCM of 13623 and 13633
- LCM of 13623 and 13634
- LCM of 13623 and 13635
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Related Least Common Multiples of 13632
- LCM of 13632 and 13636
- LCM of 13632 and 13637
- LCM of 13632 and 13638
- LCM of 13632 and 13639
- LCM of 13632 and 13640
- LCM of 13632 and 13641
- LCM of 13632 and 13642
- LCM of 13632 and 13643
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- LCM of 13632 and 13647
- LCM of 13632 and 13648
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