What is the Least Common Multiple of 13725 and 13733?
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 13725 and 13733 is 188485425.
LCM(13725,13733) = 188485425
Least Common Multiple of 13725 and 13733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13725 and 13733, than apply into the LCM equation.
GCF(13725,13733) = 1
LCM(13725,13733) = ( 13725 × 13733) / 1
LCM(13725,13733) = 188485425 / 1
LCM(13725,13733) = 188485425
Least Common Multiple (LCM) of 13725 and 13733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13725 and 13733. First we will calculate the prime factors of 13725 and 13733.
Prime Factorization of 13725
Prime factors of 13725 are 3, 5, 61. Prime factorization of 13725 in exponential form is:
13725 = 32 × 52 × 611
Prime Factorization of 13733
Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:
13733 = 311 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 13725 and 13733.
LCM(13725,13733) = 32 × 52 × 611 × 311 × 4431
LCM(13725,13733) = 188485425
Related Least Common Multiples of 13725
- LCM of 13725 and 13729
- LCM of 13725 and 13730
- LCM of 13725 and 13731
- LCM of 13725 and 13732
- LCM of 13725 and 13733
- LCM of 13725 and 13734
- LCM of 13725 and 13735
- LCM of 13725 and 13736
- LCM of 13725 and 13737
- LCM of 13725 and 13738
- LCM of 13725 and 13739
- LCM of 13725 and 13740
- LCM of 13725 and 13741
- LCM of 13725 and 13742
- LCM of 13725 and 13743
- LCM of 13725 and 13744
- LCM of 13725 and 13745
Related Least Common Multiples of 13733
- LCM of 13733 and 13737
- LCM of 13733 and 13738
- LCM of 13733 and 13739
- LCM of 13733 and 13740
- LCM of 13733 and 13741
- LCM of 13733 and 13742
- LCM of 13733 and 13743
- LCM of 13733 and 13744
- LCM of 13733 and 13745
- LCM of 13733 and 13746
- LCM of 13733 and 13747
- LCM of 13733 and 13748
- LCM of 13733 and 13749
- LCM of 13733 and 13750
- LCM of 13733 and 13751
- LCM of 13733 and 13752
- LCM of 13733 and 13753