What is the Least Common Multiple of 600 and 604?
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 604 is 90600.
LCM(600,604) = 90600
Least Common Multiple of 600 and 604 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 604, than apply into the LCM equation.
GCF(600,604) = 4
LCM(600,604) = ( 600 × 604) / 4
LCM(600,604) = 362400 / 4
LCM(600,604) = 90600
Least Common Multiple (LCM) of 600 and 604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 604. First we will calculate the prime factors of 600 and 604.
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 604
Prime factors of 604 are 2, 151. Prime factorization of 604 in exponential form is:
604 = 22 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 604.
LCM(600,604) = 23 × 31 × 52 × 1511
LCM(600,604) = 90600
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 604
- LCM of 604 and 608
- LCM of 604 and 609
- LCM of 604 and 610
- LCM of 604 and 611
- LCM of 604 and 612
- LCM of 604 and 613
- LCM of 604 and 614
- LCM of 604 and 615
- LCM of 604 and 616
- LCM of 604 and 617
- LCM of 604 and 618
- LCM of 604 and 619
- LCM of 604 and 620
- LCM of 604 and 621
- LCM of 604 and 622
- LCM of 604 and 623
- LCM of 604 and 624