What is the Least Common Multiple of 708 and 721?
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 721 is 510468.
LCM(708,721) = 510468
Least Common Multiple of 708 and 721 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 721, than apply into the LCM equation.
GCF(708,721) = 1
LCM(708,721) = ( 708 × 721) / 1
LCM(708,721) = 510468 / 1
LCM(708,721) = 510468
Least Common Multiple (LCM) of 708 and 721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 721. First we will calculate the prime factors of 708 and 721.
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 721
Prime factors of 721 are 7, 103. Prime factorization of 721 in exponential form is:
721 = 71 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 721.
LCM(708,721) = 22 × 31 × 591 × 71 × 1031
LCM(708,721) = 510468
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