What is the Least Common Multiple of 708 and 718?
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 708 and 718 is 254172.
LCM(708,718) = 254172
Least Common Multiple of 708 and 718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 708 and 718, than apply into the LCM equation.
GCF(708,718) = 2
LCM(708,718) = ( 708 × 718) / 2
LCM(708,718) = 508344 / 2
LCM(708,718) = 254172
Least Common Multiple (LCM) of 708 and 718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 718. First we will calculate the prime factors of 708 and 718.
Prime Factorization of 708
Prime factors of 708 are 2, 3, 59. Prime factorization of 708 in exponential form is:
708 = 22 × 31 × 591
Prime Factorization of 718
Prime factors of 718 are 2, 359. Prime factorization of 718 in exponential form is:
718 = 21 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 718.
LCM(708,718) = 22 × 31 × 591 × 3591
LCM(708,718) = 254172
Related Least Common Multiples of 708
- LCM of 708 and 712
- LCM of 708 and 713
- LCM of 708 and 714
- LCM of 708 and 715
- LCM of 708 and 716
- LCM of 708 and 717
- LCM of 708 and 718
- LCM of 708 and 719
- LCM of 708 and 720
- LCM of 708 and 721
- LCM of 708 and 722
- LCM of 708 and 723
- LCM of 708 and 724
- LCM of 708 and 725
- LCM of 708 and 726
- LCM of 708 and 727
- LCM of 708 and 728
Related Least Common Multiples of 718
- LCM of 718 and 722
- LCM of 718 and 723
- LCM of 718 and 724
- LCM of 718 and 725
- LCM of 718 and 726
- LCM of 718 and 727
- LCM of 718 and 728
- LCM of 718 and 729
- LCM of 718 and 730
- LCM of 718 and 731
- LCM of 718 and 732
- LCM of 718 and 733
- LCM of 718 and 734
- LCM of 718 and 735
- LCM of 718 and 736
- LCM of 718 and 737
- LCM of 718 and 738