What is the Least Common Multiple of 579 and 598?
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 579 and 598 is 346242.
LCM(579,598) = 346242
Least Common Multiple of 579 and 598 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 579 and 598, than apply into the LCM equation.
GCF(579,598) = 1
LCM(579,598) = ( 579 × 598) / 1
LCM(579,598) = 346242 / 1
LCM(579,598) = 346242
Least Common Multiple (LCM) of 579 and 598 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 579 and 598. First we will calculate the prime factors of 579 and 598.
Prime Factorization of 579
Prime factors of 579 are 3, 193. Prime factorization of 579 in exponential form is:
579 = 31 × 1931
Prime Factorization of 598
Prime factors of 598 are 2, 13, 23. Prime factorization of 598 in exponential form is:
598 = 21 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 579 and 598.
LCM(579,598) = 31 × 1931 × 21 × 131 × 231
LCM(579,598) = 346242
Related Least Common Multiples of 579
- LCM of 579 and 583
- LCM of 579 and 584
- LCM of 579 and 585
- LCM of 579 and 586
- LCM of 579 and 587
- LCM of 579 and 588
- LCM of 579 and 589
- LCM of 579 and 590
- LCM of 579 and 591
- LCM of 579 and 592
- LCM of 579 and 593
- LCM of 579 and 594
- LCM of 579 and 595
- LCM of 579 and 596
- LCM of 579 and 597
- LCM of 579 and 598
- LCM of 579 and 599
Related Least Common Multiples of 598
- LCM of 598 and 602
- LCM of 598 and 603
- LCM of 598 and 604
- LCM of 598 and 605
- LCM of 598 and 606
- LCM of 598 and 607
- LCM of 598 and 608
- LCM of 598 and 609
- LCM of 598 and 610
- LCM of 598 and 611
- LCM of 598 and 612
- LCM of 598 and 613
- LCM of 598 and 614
- LCM of 598 and 615
- LCM of 598 and 616
- LCM of 598 and 617
- LCM of 598 and 618