What is the Least Common Multiple of 702 and 709?
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 702 and 709 is 497718.
LCM(702,709) = 497718
Least Common Multiple of 702 and 709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 702 and 709, than apply into the LCM equation.
GCF(702,709) = 1
LCM(702,709) = ( 702 × 709) / 1
LCM(702,709) = 497718 / 1
LCM(702,709) = 497718
Least Common Multiple (LCM) of 702 and 709 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 702 and 709. First we will calculate the prime factors of 702 and 709.
Prime Factorization of 702
Prime factors of 702 are 2, 3, 13. Prime factorization of 702 in exponential form is:
702 = 21 × 33 × 131
Prime Factorization of 709
Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:
709 = 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 702 and 709.
LCM(702,709) = 21 × 33 × 131 × 7091
LCM(702,709) = 497718
Related Least Common Multiples of 702
- LCM of 702 and 706
- LCM of 702 and 707
- LCM of 702 and 708
- LCM of 702 and 709
- LCM of 702 and 710
- LCM of 702 and 711
- LCM of 702 and 712
- LCM of 702 and 713
- LCM of 702 and 714
- LCM of 702 and 715
- LCM of 702 and 716
- LCM of 702 and 717
- LCM of 702 and 718
- LCM of 702 and 719
- LCM of 702 and 720
- LCM of 702 and 721
- LCM of 702 and 722
Related Least Common Multiples of 709
- LCM of 709 and 713
- LCM of 709 and 714
- LCM of 709 and 715
- LCM of 709 and 716
- LCM of 709 and 717
- LCM of 709 and 718
- LCM of 709 and 719
- LCM of 709 and 720
- LCM of 709 and 721
- LCM of 709 and 722
- LCM of 709 and 723
- LCM of 709 and 724
- LCM of 709 and 725
- LCM of 709 and 726
- LCM of 709 and 727
- LCM of 709 and 728
- LCM of 709 and 729