What is the Least Common Multiple of 614 and 623?
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 623 is 382522.
LCM(614,623) = 382522
Least Common Multiple of 614 and 623 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 623, than apply into the LCM equation.
GCF(614,623) = 1
LCM(614,623) = ( 614 × 623) / 1
LCM(614,623) = 382522 / 1
LCM(614,623) = 382522
Least Common Multiple (LCM) of 614 and 623 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 614 and 623. First we will calculate the prime factors of 614 and 623.
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 623
Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:
623 = 71 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 614 and 623.
LCM(614,623) = 21 × 3071 × 71 × 891
LCM(614,623) = 382522
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 623
- LCM of 623 and 627
- LCM of 623 and 628
- LCM of 623 and 629
- LCM of 623 and 630
- LCM of 623 and 631
- LCM of 623 and 632
- LCM of 623 and 633
- LCM of 623 and 634
- LCM of 623 and 635
- LCM of 623 and 636
- LCM of 623 and 637
- LCM of 623 and 638
- LCM of 623 and 639
- LCM of 623 and 640
- LCM of 623 and 641
- LCM of 623 and 642
- LCM of 623 and 643