What is the Least Common Multiple of 600 and 609?
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 600 and 609 is 121800.
LCM(600,609) = 121800
Least Common Multiple of 600 and 609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 600 and 609, than apply into the LCM equation.
GCF(600,609) = 3
LCM(600,609) = ( 600 × 609) / 3
LCM(600,609) = 365400 / 3
LCM(600,609) = 121800
Least Common Multiple (LCM) of 600 and 609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 609. First we will calculate the prime factors of 600 and 609.
Prime Factorization of 600
Prime factors of 600 are 2, 3, 5. Prime factorization of 600 in exponential form is:
600 = 23 × 31 × 52
Prime Factorization of 609
Prime factors of 609 are 3, 7, 29. Prime factorization of 609 in exponential form is:
609 = 31 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 609.
LCM(600,609) = 23 × 31 × 52 × 71 × 291
LCM(600,609) = 121800
Related Least Common Multiples of 600
- LCM of 600 and 604
- LCM of 600 and 605
- LCM of 600 and 606
- LCM of 600 and 607
- LCM of 600 and 608
- LCM of 600 and 609
- LCM of 600 and 610
- LCM of 600 and 611
- LCM of 600 and 612
- LCM of 600 and 613
- LCM of 600 and 614
- LCM of 600 and 615
- LCM of 600 and 616
- LCM of 600 and 617
- LCM of 600 and 618
- LCM of 600 and 619
- LCM of 600 and 620
Related Least Common Multiples of 609
- LCM of 609 and 613
- LCM of 609 and 614
- LCM of 609 and 615
- LCM of 609 and 616
- LCM of 609 and 617
- LCM of 609 and 618
- LCM of 609 and 619
- LCM of 609 and 620
- LCM of 609 and 621
- LCM of 609 and 622
- LCM of 609 and 623
- LCM of 609 and 624
- LCM of 609 and 625
- LCM of 609 and 626
- LCM of 609 and 627
- LCM of 609 and 628
- LCM of 609 and 629