What is the Least Common Multiple of 11907 and 11919?
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 11907 and 11919 is 47306511.
LCM(11907,11919) = 47306511
Least Common Multiple of 11907 and 11919 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11907 and 11919, than apply into the LCM equation.
GCF(11907,11919) = 3
LCM(11907,11919) = ( 11907 × 11919) / 3
LCM(11907,11919) = 141919533 / 3
LCM(11907,11919) = 47306511
Least Common Multiple (LCM) of 11907 and 11919 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11907 and 11919. First we will calculate the prime factors of 11907 and 11919.
Prime Factorization of 11907
Prime factors of 11907 are 3, 7. Prime factorization of 11907 in exponential form is:
11907 = 35 × 72
Prime Factorization of 11919
Prime factors of 11919 are 3, 29, 137. Prime factorization of 11919 in exponential form is:
11919 = 31 × 291 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 11907 and 11919.
LCM(11907,11919) = 35 × 72 × 291 × 1371
LCM(11907,11919) = 47306511
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