What is the Least Common Multiple of 11688 and 11693?
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 11688 and 11693 is 136667784.
LCM(11688,11693) = 136667784
Least Common Multiple of 11688 and 11693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11688 and 11693, than apply into the LCM equation.
GCF(11688,11693) = 1
LCM(11688,11693) = ( 11688 × 11693) / 1
LCM(11688,11693) = 136667784 / 1
LCM(11688,11693) = 136667784
Least Common Multiple (LCM) of 11688 and 11693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11688 and 11693. First we will calculate the prime factors of 11688 and 11693.
Prime Factorization of 11688
Prime factors of 11688 are 2, 3, 487. Prime factorization of 11688 in exponential form is:
11688 = 23 × 31 × 4871
Prime Factorization of 11693
Prime factors of 11693 are 11, 1063. Prime factorization of 11693 in exponential form is:
11693 = 111 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 11688 and 11693.
LCM(11688,11693) = 23 × 31 × 4871 × 111 × 10631
LCM(11688,11693) = 136667784
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