What is the Least Common Multiple of 592 and 602?
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 592 and 602 is 178192.
LCM(592,602) = 178192
Least Common Multiple of 592 and 602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 592 and 602, than apply into the LCM equation.
GCF(592,602) = 2
LCM(592,602) = ( 592 × 602) / 2
LCM(592,602) = 356384 / 2
LCM(592,602) = 178192
Least Common Multiple (LCM) of 592 and 602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 602. First we will calculate the prime factors of 592 and 602.
Prime Factorization of 592
Prime factors of 592 are 2, 37. Prime factorization of 592 in exponential form is:
592 = 24 × 371
Prime Factorization of 602
Prime factors of 602 are 2, 7, 43. Prime factorization of 602 in exponential form is:
602 = 21 × 71 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 592 and 602.
LCM(592,602) = 24 × 371 × 71 × 431
LCM(592,602) = 178192
Related Least Common Multiples of 592
- LCM of 592 and 596
- LCM of 592 and 597
- LCM of 592 and 598
- LCM of 592 and 599
- LCM of 592 and 600
- LCM of 592 and 601
- LCM of 592 and 602
- LCM of 592 and 603
- LCM of 592 and 604
- LCM of 592 and 605
- LCM of 592 and 606
- LCM of 592 and 607
- LCM of 592 and 608
- LCM of 592 and 609
- LCM of 592 and 610
- LCM of 592 and 611
- LCM of 592 and 612
Related Least Common Multiples of 602
- LCM of 602 and 606
- LCM of 602 and 607
- LCM of 602 and 608
- LCM of 602 and 609
- LCM of 602 and 610
- LCM of 602 and 611
- LCM of 602 and 612
- LCM of 602 and 613
- LCM of 602 and 614
- LCM of 602 and 615
- LCM of 602 and 616
- LCM of 602 and 617
- LCM of 602 and 618
- LCM of 602 and 619
- LCM of 602 and 620
- LCM of 602 and 621
- LCM of 602 and 622