What is the Least Common Multiple of 600 and 618?
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 618 is 61800.
LCM(600,618) = 61800
Least Common Multiple of 600 and 618 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 618, than apply into the LCM equation.
GCF(600,618) = 6
LCM(600,618) = ( 600 × 618) / 6
LCM(600,618) = 370800 / 6
LCM(600,618) = 61800
Least Common Multiple (LCM) of 600 and 618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 618. First we will calculate the prime factors of 600 and 618.
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 618
Prime factors of 618 are 2, 3, 103. Prime factorization of 618 in exponential form is:
618 = 21 × 31 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 618.
LCM(600,618) = 23 × 31 × 52 × 1031
LCM(600,618) = 61800
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 618
- LCM of 618 and 622
- LCM of 618 and 623
- LCM of 618 and 624
- LCM of 618 and 625
- LCM of 618 and 626
- LCM of 618 and 627
- LCM of 618 and 628
- LCM of 618 and 629
- LCM of 618 and 630
- LCM of 618 and 631
- LCM of 618 and 632
- LCM of 618 and 633
- LCM of 618 and 634
- LCM of 618 and 635
- LCM of 618 and 636
- LCM of 618 and 637
- LCM of 618 and 638