What is the Least Common Multiple of 692 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 692 and 704 is 121792.
LCM(692,704) = 121792
Least Common Multiple of 692 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 692 and 704, than apply into the LCM equation.
GCF(692,704) = 4
LCM(692,704) = ( 692 × 704) / 4
LCM(692,704) = 487168 / 4
LCM(692,704) = 121792
Least Common Multiple (LCM) of 692 and 704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 704. First we will calculate the prime factors of 692 and 704.
Prime Factorization of 692
Prime factors of 692 are 2, 173. Prime factorization of 692 in exponential form is:
692 = 22 × 1731
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 692 and 704.
LCM(692,704) = 26 × 1731 × 111
LCM(692,704) = 121792
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