What is the Least Common Multiple of 714 and 726?
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 714 and 726 is 86394.
LCM(714,726) = 86394
Least Common Multiple of 714 and 726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 714 and 726, than apply into the LCM equation.
GCF(714,726) = 6
LCM(714,726) = ( 714 × 726) / 6
LCM(714,726) = 518364 / 6
LCM(714,726) = 86394
Least Common Multiple (LCM) of 714 and 726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 714 and 726. First we will calculate the prime factors of 714 and 726.
Prime Factorization of 714
Prime factors of 714 are 2, 3, 7, 17. Prime factorization of 714 in exponential form is:
714 = 21 × 31 × 71 × 171
Prime Factorization of 726
Prime factors of 726 are 2, 3, 11. Prime factorization of 726 in exponential form is:
726 = 21 × 31 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 714 and 726.
LCM(714,726) = 21 × 31 × 71 × 171 × 112
LCM(714,726) = 86394
Related Least Common Multiples of 714
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Related Least Common Multiples of 726
- LCM of 726 and 730
- LCM of 726 and 731
- LCM of 726 and 732
- LCM of 726 and 733
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