What is the Least Common Multiple of 685 and 704?
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 685 and 704 is 482240.
LCM(685,704) = 482240
Least Common Multiple of 685 and 704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 685 and 704, than apply into the LCM equation.
GCF(685,704) = 1
LCM(685,704) = ( 685 × 704) / 1
LCM(685,704) = 482240 / 1
LCM(685,704) = 482240
Least Common Multiple (LCM) of 685 and 704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 704. First we will calculate the prime factors of 685 and 704.
Prime Factorization of 685
Prime factors of 685 are 5, 137. Prime factorization of 685 in exponential form is:
685 = 51 × 1371
Prime Factorization of 704
Prime factors of 704 are 2, 11. Prime factorization of 704 in exponential form is:
704 = 26 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 685 and 704.
LCM(685,704) = 51 × 1371 × 26 × 111
LCM(685,704) = 482240
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