What is the Least Common Multiple of 614 and 634?
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 614 and 634 is 194638.
LCM(614,634) = 194638
Least Common Multiple of 614 and 634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 614 and 634, than apply into the LCM equation.
GCF(614,634) = 2
LCM(614,634) = ( 614 × 634) / 2
LCM(614,634) = 389276 / 2
LCM(614,634) = 194638
Least Common Multiple (LCM) of 614 and 634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 634. First we will calculate the prime factors of 614 and 634.
Prime Factorization of 614
Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:
614 = 21 × 3071
Prime Factorization of 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 634.
LCM(614,634) = 21 × 3071 × 3171
LCM(614,634) = 194638
Related Least Common Multiples of 614
- LCM of 614 and 618
- LCM of 614 and 619
- LCM of 614 and 620
- LCM of 614 and 621
- LCM of 614 and 622
- LCM of 614 and 623
- LCM of 614 and 624
- LCM of 614 and 625
- LCM of 614 and 626
- LCM of 614 and 627
- LCM of 614 and 628
- LCM of 614 and 629
- LCM of 614 and 630
- LCM of 614 and 631
- LCM of 614 and 632
- LCM of 614 and 633
- LCM of 614 and 634
Related Least Common Multiples of 634
- LCM of 634 and 638
- LCM of 634 and 639
- LCM of 634 and 640
- LCM of 634 and 641
- LCM of 634 and 642
- LCM of 634 and 643
- LCM of 634 and 644
- LCM of 634 and 645
- LCM of 634 and 646
- LCM of 634 and 647
- LCM of 634 and 648
- LCM of 634 and 649
- LCM of 634 and 650
- LCM of 634 and 651
- LCM of 634 and 652
- LCM of 634 and 653
- LCM of 634 and 654