What is the Least Common Multiple of 15345 and 15352?
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 15345 and 15352 is 235576440.
LCM(15345,15352) = 235576440
Least Common Multiple of 15345 and 15352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15345 and 15352, than apply into the LCM equation.
GCF(15345,15352) = 1
LCM(15345,15352) = ( 15345 × 15352) / 1
LCM(15345,15352) = 235576440 / 1
LCM(15345,15352) = 235576440
Least Common Multiple (LCM) of 15345 and 15352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15345 and 15352. First we will calculate the prime factors of 15345 and 15352.
Prime Factorization of 15345
Prime factors of 15345 are 3, 5, 11, 31. Prime factorization of 15345 in exponential form is:
15345 = 32 × 51 × 111 × 311
Prime Factorization of 15352
Prime factors of 15352 are 2, 19, 101. Prime factorization of 15352 in exponential form is:
15352 = 23 × 191 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 15345 and 15352.
LCM(15345,15352) = 32 × 51 × 111 × 311 × 23 × 191 × 1011
LCM(15345,15352) = 235576440
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