What is the Least Common Multiple of 700 and 705?
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 700 and 705 is 98700.
LCM(700,705) = 98700
Least Common Multiple of 700 and 705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 700 and 705, than apply into the LCM equation.
GCF(700,705) = 5
LCM(700,705) = ( 700 × 705) / 5
LCM(700,705) = 493500 / 5
LCM(700,705) = 98700
Least Common Multiple (LCM) of 700 and 705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 700 and 705. First we will calculate the prime factors of 700 and 705.
Prime Factorization of 700
Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:
700 = 22 × 52 × 71
Prime Factorization of 705
Prime factors of 705 are 3, 5, 47. Prime factorization of 705 in exponential form is:
705 = 31 × 51 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 700 and 705.
LCM(700,705) = 22 × 52 × 71 × 31 × 471
LCM(700,705) = 98700
Related Least Common Multiples of 700
- LCM of 700 and 704
- LCM of 700 and 705
- LCM of 700 and 706
- LCM of 700 and 707
- LCM of 700 and 708
- LCM of 700 and 709
- LCM of 700 and 710
- LCM of 700 and 711
- LCM of 700 and 712
- LCM of 700 and 713
- LCM of 700 and 714
- LCM of 700 and 715
- LCM of 700 and 716
- LCM of 700 and 717
- LCM of 700 and 718
- LCM of 700 and 719
- LCM of 700 and 720
Related Least Common Multiples of 705
- LCM of 705 and 709
- LCM of 705 and 710
- LCM of 705 and 711
- LCM of 705 and 712
- LCM of 705 and 713
- LCM of 705 and 714
- LCM of 705 and 715
- LCM of 705 and 716
- LCM of 705 and 717
- LCM of 705 and 718
- LCM of 705 and 719
- LCM of 705 and 720
- LCM of 705 and 721
- LCM of 705 and 722
- LCM of 705 and 723
- LCM of 705 and 724
- LCM of 705 and 725