What is the Least Common Multiple of 13625 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 13625 and 13632 is 185736000.
LCM(13625,13632) = 185736000
Least Common Multiple of 13625 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 13625 and 13632, than apply into the LCM equation.
GCF(13625,13632) = 1
LCM(13625,13632) = ( 13625 × 13632) / 1
LCM(13625,13632) = 185736000 / 1
LCM(13625,13632) = 185736000
Least Common Multiple (LCM) of 13625 and 13632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13632. First we will calculate the prime factors of 13625 and 13632.
Prime Factorization of 13625
Prime factors of 13625 are 5, 109. Prime factorization of 13625 in exponential form is:
13625 = 53 × 1091
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 13625 and 13632.
LCM(13625,13632) = 53 × 1091 × 26 × 31 × 711
LCM(13625,13632) = 185736000
Related Least Common Multiples of 13625
- LCM of 13625 and 13629
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- LCM of 13625 and 13632
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- LCM of 13625 and 13636
- LCM of 13625 and 13637
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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
- LCM of 13632 and 13644
- LCM of 13632 and 13645
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- LCM of 13632 and 13648
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