What is the Least Common Multiple of 617 and 628?
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 617 and 628 is 387476.
LCM(617,628) = 387476
Least Common Multiple of 617 and 628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 617 and 628, than apply into the LCM equation.
GCF(617,628) = 1
LCM(617,628) = ( 617 × 628) / 1
LCM(617,628) = 387476 / 1
LCM(617,628) = 387476
Least Common Multiple (LCM) of 617 and 628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 617 and 628. First we will calculate the prime factors of 617 and 628.
Prime Factorization of 617
Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:
617 = 6171
Prime Factorization of 628
Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:
628 = 22 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 617 and 628.
LCM(617,628) = 6171 × 22 × 1571
LCM(617,628) = 387476
Related Least Common Multiples of 617
- LCM of 617 and 621
- LCM of 617 and 622
- LCM of 617 and 623
- LCM of 617 and 624
- LCM of 617 and 625
- LCM of 617 and 626
- LCM of 617 and 627
- LCM of 617 and 628
- LCM of 617 and 629
- LCM of 617 and 630
- LCM of 617 and 631
- LCM of 617 and 632
- LCM of 617 and 633
- LCM of 617 and 634
- LCM of 617 and 635
- LCM of 617 and 636
- LCM of 617 and 637
Related Least Common Multiples of 628
- LCM of 628 and 632
- LCM of 628 and 633
- LCM of 628 and 634
- LCM of 628 and 635
- LCM of 628 and 636
- LCM of 628 and 637
- LCM of 628 and 638
- LCM of 628 and 639
- LCM of 628 and 640
- LCM of 628 and 641
- LCM of 628 and 642
- LCM of 628 and 643
- LCM of 628 and 644
- LCM of 628 and 645
- LCM of 628 and 646
- LCM of 628 and 647
- LCM of 628 and 648