What is the Least Common Multiple of 11672 and 11682?
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 11672 and 11682 is 68176152.
LCM(11672,11682) = 68176152
Least Common Multiple of 11672 and 11682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11672 and 11682, than apply into the LCM equation.
GCF(11672,11682) = 2
LCM(11672,11682) = ( 11672 × 11682) / 2
LCM(11672,11682) = 136352304 / 2
LCM(11672,11682) = 68176152
Least Common Multiple (LCM) of 11672 and 11682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11672 and 11682. First we will calculate the prime factors of 11672 and 11682.
Prime Factorization of 11672
Prime factors of 11672 are 2, 1459. Prime factorization of 11672 in exponential form is:
11672 = 23 × 14591
Prime Factorization of 11682
Prime factors of 11682 are 2, 3, 11, 59. Prime factorization of 11682 in exponential form is:
11682 = 21 × 32 × 111 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 11672 and 11682.
LCM(11672,11682) = 23 × 14591 × 32 × 111 × 591
LCM(11672,11682) = 68176152
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