What is the Least Common Multiple of 13625 and 13642?
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 13642 is 185872250.
LCM(13625,13642) = 185872250
Least Common Multiple of 13625 and 13642 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 13642, than apply into the LCM equation.
GCF(13625,13642) = 1
LCM(13625,13642) = ( 13625 × 13642) / 1
LCM(13625,13642) = 185872250 / 1
LCM(13625,13642) = 185872250
Least Common Multiple (LCM) of 13625 and 13642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13625 and 13642. First we will calculate the prime factors of 13625 and 13642.
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 13642
Prime factors of 13642 are 2, 19, 359. Prime factorization of 13642 in exponential form is:
13642 = 21 × 191 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 13625 and 13642.
LCM(13625,13642) = 53 × 1091 × 21 × 191 × 3591
LCM(13625,13642) = 185872250
Related Least Common Multiples of 13625
- LCM of 13625 and 13629
- LCM of 13625 and 13630
- LCM of 13625 and 13631
- LCM of 13625 and 13632
- LCM of 13625 and 13633
- LCM of 13625 and 13634
- LCM of 13625 and 13635
- LCM of 13625 and 13636
- LCM of 13625 and 13637
- LCM of 13625 and 13638
- LCM of 13625 and 13639
- LCM of 13625 and 13640
- LCM of 13625 and 13641
- LCM of 13625 and 13642
- LCM of 13625 and 13643
- LCM of 13625 and 13644
- LCM of 13625 and 13645
Related Least Common Multiples of 13642
- LCM of 13642 and 13646
- LCM of 13642 and 13647
- LCM of 13642 and 13648
- LCM of 13642 and 13649
- LCM of 13642 and 13650
- LCM of 13642 and 13651
- LCM of 13642 and 13652
- LCM of 13642 and 13653
- LCM of 13642 and 13654
- LCM of 13642 and 13655
- LCM of 13642 and 13656
- LCM of 13642 and 13657
- LCM of 13642 and 13658
- LCM of 13642 and 13659
- LCM of 13642 and 13660
- LCM of 13642 and 13661
- LCM of 13642 and 13662