What is the Least Common Multiple of 710 and 722?
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 710 and 722 is 256310.
LCM(710,722) = 256310
Least Common Multiple of 710 and 722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 710 and 722, than apply into the LCM equation.
GCF(710,722) = 2
LCM(710,722) = ( 710 × 722) / 2
LCM(710,722) = 512620 / 2
LCM(710,722) = 256310
Least Common Multiple (LCM) of 710 and 722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 710 and 722. First we will calculate the prime factors of 710 and 722.
Prime Factorization of 710
Prime factors of 710 are 2, 5, 71. Prime factorization of 710 in exponential form is:
710 = 21 × 51 × 711
Prime Factorization of 722
Prime factors of 722 are 2, 19. Prime factorization of 722 in exponential form is:
722 = 21 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 710 and 722.
LCM(710,722) = 21 × 51 × 711 × 192
LCM(710,722) = 256310
Related Least Common Multiples of 710
- LCM of 710 and 714
- LCM of 710 and 715
- LCM of 710 and 716
- LCM of 710 and 717
- LCM of 710 and 718
- LCM of 710 and 719
- LCM of 710 and 720
- LCM of 710 and 721
- LCM of 710 and 722
- LCM of 710 and 723
- LCM of 710 and 724
- LCM of 710 and 725
- LCM of 710 and 726
- LCM of 710 and 727
- LCM of 710 and 728
- LCM of 710 and 729
- LCM of 710 and 730
Related Least Common Multiples of 722
- LCM of 722 and 726
- LCM of 722 and 727
- LCM of 722 and 728
- LCM of 722 and 729
- LCM of 722 and 730
- LCM of 722 and 731
- LCM of 722 and 732
- LCM of 722 and 733
- LCM of 722 and 734
- LCM of 722 and 735
- LCM of 722 and 736
- LCM of 722 and 737
- LCM of 722 and 738
- LCM of 722 and 739
- LCM of 722 and 740
- LCM of 722 and 741
- LCM of 722 and 742