What is the Least Common Multiple of 16375 and 16387?
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 16375 and 16387 is 268337125.
LCM(16375,16387) = 268337125
Least Common Multiple of 16375 and 16387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16375 and 16387, than apply into the LCM equation.
GCF(16375,16387) = 1
LCM(16375,16387) = ( 16375 × 16387) / 1
LCM(16375,16387) = 268337125 / 1
LCM(16375,16387) = 268337125
Least Common Multiple (LCM) of 16375 and 16387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16375 and 16387. First we will calculate the prime factors of 16375 and 16387.
Prime Factorization of 16375
Prime factors of 16375 are 5, 131. Prime factorization of 16375 in exponential form is:
16375 = 53 × 1311
Prime Factorization of 16387
Prime factors of 16387 are 7, 2341. Prime factorization of 16387 in exponential form is:
16387 = 71 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 16375 and 16387.
LCM(16375,16387) = 53 × 1311 × 71 × 23411
LCM(16375,16387) = 268337125
Related Least Common Multiples of 16375
- LCM of 16375 and 16379
- LCM of 16375 and 16380
- LCM of 16375 and 16381
- LCM of 16375 and 16382
- LCM of 16375 and 16383
- LCM of 16375 and 16384
- LCM of 16375 and 16385
- LCM of 16375 and 16386
- LCM of 16375 and 16387
- LCM of 16375 and 16388
- LCM of 16375 and 16389
- LCM of 16375 and 16390
- LCM of 16375 and 16391
- LCM of 16375 and 16392
- LCM of 16375 and 16393
- LCM of 16375 and 16394
- LCM of 16375 and 16395
Related Least Common Multiples of 16387
- LCM of 16387 and 16391
- LCM of 16387 and 16392
- LCM of 16387 and 16393
- LCM of 16387 and 16394
- LCM of 16387 and 16395
- LCM of 16387 and 16396
- LCM of 16387 and 16397
- LCM of 16387 and 16398
- LCM of 16387 and 16399
- LCM of 16387 and 16400
- LCM of 16387 and 16401
- LCM of 16387 and 16402
- LCM of 16387 and 16403
- LCM of 16387 and 16404
- LCM of 16387 and 16405
- LCM of 16387 and 16406
- LCM of 16387 and 16407