What is the Least Common Multiple of 11961 and 11970?
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 11961 and 11970 is 15908130.
LCM(11961,11970) = 15908130
Least Common Multiple of 11961 and 11970 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11961 and 11970, than apply into the LCM equation.
GCF(11961,11970) = 9
LCM(11961,11970) = ( 11961 × 11970) / 9
LCM(11961,11970) = 143173170 / 9
LCM(11961,11970) = 15908130
Least Common Multiple (LCM) of 11961 and 11970 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11961 and 11970. First we will calculate the prime factors of 11961 and 11970.
Prime Factorization of 11961
Prime factors of 11961 are 3, 443. Prime factorization of 11961 in exponential form is:
11961 = 33 × 4431
Prime Factorization of 11970
Prime factors of 11970 are 2, 3, 5, 7, 19. Prime factorization of 11970 in exponential form is:
11970 = 21 × 32 × 51 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 11961 and 11970.
LCM(11961,11970) = 33 × 4431 × 21 × 51 × 71 × 191
LCM(11961,11970) = 15908130
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