What is the Least Common Multiple of 688 and 693?
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 688 and 693 is 476784.
LCM(688,693) = 476784
Least Common Multiple of 688 and 693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 688 and 693, than apply into the LCM equation.
GCF(688,693) = 1
LCM(688,693) = ( 688 × 693) / 1
LCM(688,693) = 476784 / 1
LCM(688,693) = 476784
Least Common Multiple (LCM) of 688 and 693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 693. First we will calculate the prime factors of 688 and 693.
Prime Factorization of 688
Prime factors of 688 are 2, 43. Prime factorization of 688 in exponential form is:
688 = 24 × 431
Prime Factorization of 693
Prime factors of 693 are 3, 7, 11. Prime factorization of 693 in exponential form is:
693 = 32 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 688 and 693.
LCM(688,693) = 24 × 431 × 32 × 71 × 111
LCM(688,693) = 476784
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