What is the Least Common Multiple of 11641 and 11661?
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 11641 and 11661 is 135745701.
LCM(11641,11661) = 135745701
Least Common Multiple of 11641 and 11661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11641 and 11661, than apply into the LCM equation.
GCF(11641,11661) = 1
LCM(11641,11661) = ( 11641 × 11661) / 1
LCM(11641,11661) = 135745701 / 1
LCM(11641,11661) = 135745701
Least Common Multiple (LCM) of 11641 and 11661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11641 and 11661. First we will calculate the prime factors of 11641 and 11661.
Prime Factorization of 11641
Prime factors of 11641 are 7, 1663. Prime factorization of 11641 in exponential form is:
11641 = 71 × 16631
Prime Factorization of 11661
Prime factors of 11661 are 3, 13, 23. Prime factorization of 11661 in exponential form is:
11661 = 31 × 132 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 11641 and 11661.
LCM(11641,11661) = 71 × 16631 × 31 × 132 × 231
LCM(11641,11661) = 135745701
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