What is the Least Common Multiple of 11655 and 11666?
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 11655 and 11666 is 135967230.
LCM(11655,11666) = 135967230
Least Common Multiple of 11655 and 11666 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11655 and 11666, than apply into the LCM equation.
GCF(11655,11666) = 1
LCM(11655,11666) = ( 11655 × 11666) / 1
LCM(11655,11666) = 135967230 / 1
LCM(11655,11666) = 135967230
Least Common Multiple (LCM) of 11655 and 11666 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11655 and 11666. First we will calculate the prime factors of 11655 and 11666.
Prime Factorization of 11655
Prime factors of 11655 are 3, 5, 7, 37. Prime factorization of 11655 in exponential form is:
11655 = 32 × 51 × 71 × 371
Prime Factorization of 11666
Prime factors of 11666 are 2, 19, 307. Prime factorization of 11666 in exponential form is:
11666 = 21 × 191 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 11655 and 11666.
LCM(11655,11666) = 32 × 51 × 71 × 371 × 21 × 191 × 3071
LCM(11655,11666) = 135967230
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