What is the Least Common Multiple of 552 and 561?
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 552 and 561 is 103224.
LCM(552,561) = 103224
Least Common Multiple of 552 and 561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 552 and 561, than apply into the LCM equation.
GCF(552,561) = 3
LCM(552,561) = ( 552 × 561) / 3
LCM(552,561) = 309672 / 3
LCM(552,561) = 103224
Least Common Multiple (LCM) of 552 and 561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 552 and 561. First we will calculate the prime factors of 552 and 561.
Prime Factorization of 552
Prime factors of 552 are 2, 3, 23. Prime factorization of 552 in exponential form is:
552 = 23 × 31 × 231
Prime Factorization of 561
Prime factors of 561 are 3, 11, 17. Prime factorization of 561 in exponential form is:
561 = 31 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 552 and 561.
LCM(552,561) = 23 × 31 × 231 × 111 × 171
LCM(552,561) = 103224
Related Least Common Multiples of 552
- LCM of 552 and 556
- LCM of 552 and 557
- LCM of 552 and 558
- LCM of 552 and 559
- LCM of 552 and 560
- LCM of 552 and 561
- LCM of 552 and 562
- LCM of 552 and 563
- LCM of 552 and 564
- LCM of 552 and 565
- LCM of 552 and 566
- LCM of 552 and 567
- LCM of 552 and 568
- LCM of 552 and 569
- LCM of 552 and 570
- LCM of 552 and 571
- LCM of 552 and 572
Related Least Common Multiples of 561
- LCM of 561 and 565
- LCM of 561 and 566
- LCM of 561 and 567
- LCM of 561 and 568
- LCM of 561 and 569
- LCM of 561 and 570
- LCM of 561 and 571
- LCM of 561 and 572
- LCM of 561 and 573
- LCM of 561 and 574
- LCM of 561 and 575
- LCM of 561 and 576
- LCM of 561 and 577
- LCM of 561 and 578
- LCM of 561 and 579
- LCM of 561 and 580
- LCM of 561 and 581