What is the Least Common Multiple of 12564 and 12569?
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 12564 and 12569 is 157916916.
LCM(12564,12569) = 157916916
Least Common Multiple of 12564 and 12569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12564 and 12569, than apply into the LCM equation.
GCF(12564,12569) = 1
LCM(12564,12569) = ( 12564 × 12569) / 1
LCM(12564,12569) = 157916916 / 1
LCM(12564,12569) = 157916916
Least Common Multiple (LCM) of 12564 and 12569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12564 and 12569. First we will calculate the prime factors of 12564 and 12569.
Prime Factorization of 12564
Prime factors of 12564 are 2, 3, 349. Prime factorization of 12564 in exponential form is:
12564 = 22 × 32 × 3491
Prime Factorization of 12569
Prime factors of 12569 are 12569. Prime factorization of 12569 in exponential form is:
12569 = 125691
Now multiplying the highest exponent prime factors to calculate the LCM of 12564 and 12569.
LCM(12564,12569) = 22 × 32 × 3491 × 125691
LCM(12564,12569) = 157916916
Related Least Common Multiples of 12564
- LCM of 12564 and 12568
- LCM of 12564 and 12569
- LCM of 12564 and 12570
- LCM of 12564 and 12571
- LCM of 12564 and 12572
- LCM of 12564 and 12573
- LCM of 12564 and 12574
- LCM of 12564 and 12575
- LCM of 12564 and 12576
- LCM of 12564 and 12577
- LCM of 12564 and 12578
- LCM of 12564 and 12579
- LCM of 12564 and 12580
- LCM of 12564 and 12581
- LCM of 12564 and 12582
- LCM of 12564 and 12583
- LCM of 12564 and 12584
Related Least Common Multiples of 12569
- LCM of 12569 and 12573
- LCM of 12569 and 12574
- LCM of 12569 and 12575
- LCM of 12569 and 12576
- LCM of 12569 and 12577
- LCM of 12569 and 12578
- LCM of 12569 and 12579
- LCM of 12569 and 12580
- LCM of 12569 and 12581
- LCM of 12569 and 12582
- LCM of 12569 and 12583
- LCM of 12569 and 12584
- LCM of 12569 and 12585
- LCM of 12569 and 12586
- LCM of 12569 and 12587
- LCM of 12569 and 12588
- LCM of 12569 and 12589