What is the Least Common Multiple of 596 and 616?
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 596 and 616 is 91784.
LCM(596,616) = 91784
Least Common Multiple of 596 and 616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 596 and 616, than apply into the LCM equation.
GCF(596,616) = 4
LCM(596,616) = ( 596 × 616) / 4
LCM(596,616) = 367136 / 4
LCM(596,616) = 91784
Least Common Multiple (LCM) of 596 and 616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 596 and 616. First we will calculate the prime factors of 596 and 616.
Prime Factorization of 596
Prime factors of 596 are 2, 149. Prime factorization of 596 in exponential form is:
596 = 22 × 1491
Prime Factorization of 616
Prime factors of 616 are 2, 7, 11. Prime factorization of 616 in exponential form is:
616 = 23 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 596 and 616.
LCM(596,616) = 23 × 1491 × 71 × 111
LCM(596,616) = 91784
Related Least Common Multiples of 596
- LCM of 596 and 600
- LCM of 596 and 601
- LCM of 596 and 602
- LCM of 596 and 603
- LCM of 596 and 604
- LCM of 596 and 605
- LCM of 596 and 606
- LCM of 596 and 607
- LCM of 596 and 608
- LCM of 596 and 609
- LCM of 596 and 610
- LCM of 596 and 611
- LCM of 596 and 612
- LCM of 596 and 613
- LCM of 596 and 614
- LCM of 596 and 615
- LCM of 596 and 616
Related Least Common Multiples of 616
- LCM of 616 and 620
- LCM of 616 and 621
- LCM of 616 and 622
- LCM of 616 and 623
- LCM of 616 and 624
- LCM of 616 and 625
- LCM of 616 and 626
- LCM of 616 and 627
- LCM of 616 and 628
- LCM of 616 and 629
- LCM of 616 and 630
- LCM of 616 and 631
- LCM of 616 and 632
- LCM of 616 and 633
- LCM of 616 and 634
- LCM of 616 and 635
- LCM of 616 and 636