What is the Least Common Multiple of 13623 and 13627?
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 13627 is 185640621.
LCM(13623,13627) = 185640621
Least Common Multiple of 13623 and 13627 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 13627, than apply into the LCM equation.
GCF(13623,13627) = 1
LCM(13623,13627) = ( 13623 × 13627) / 1
LCM(13623,13627) = 185640621 / 1
LCM(13623,13627) = 185640621
Least Common Multiple (LCM) of 13623 and 13627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13623 and 13627. First we will calculate the prime factors of 13623 and 13627.
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 13627
Prime factors of 13627 are 13627. Prime factorization of 13627 in exponential form is:
13627 = 136271
Now multiplying the highest exponent prime factors to calculate the LCM of 13623 and 13627.
LCM(13623,13627) = 31 × 191 × 2391 × 136271
LCM(13623,13627) = 185640621
Related Least Common Multiples of 13623
- LCM of 13623 and 13627
- LCM of 13623 and 13628
- LCM of 13623 and 13629
- LCM of 13623 and 13630
- LCM of 13623 and 13631
- LCM of 13623 and 13632
- LCM of 13623 and 13633
- LCM of 13623 and 13634
- LCM of 13623 and 13635
- LCM of 13623 and 13636
- LCM of 13623 and 13637
- LCM of 13623 and 13638
- LCM of 13623 and 13639
- LCM of 13623 and 13640
- LCM of 13623 and 13641
- LCM of 13623 and 13642
- LCM of 13623 and 13643
Related Least Common Multiples of 13627
- LCM of 13627 and 13631
- LCM of 13627 and 13632
- LCM of 13627 and 13633
- LCM of 13627 and 13634
- LCM of 13627 and 13635
- LCM of 13627 and 13636
- LCM of 13627 and 13637
- LCM of 13627 and 13638
- LCM of 13627 and 13639
- LCM of 13627 and 13640
- LCM of 13627 and 13641
- LCM of 13627 and 13642
- LCM of 13627 and 13643
- LCM of 13627 and 13644
- LCM of 13627 and 13645
- LCM of 13627 and 13646
- LCM of 13627 and 13647