What is the Least Common Multiple of 315 and 326?
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 315 and 326 is 102690.
LCM(315,326) = 102690
Least Common Multiple of 315 and 326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 326, than apply into the LCM equation.
GCF(315,326) = 1
LCM(315,326) = ( 315 × 326) / 1
LCM(315,326) = 102690 / 1
LCM(315,326) = 102690
Least Common Multiple (LCM) of 315 and 326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 326. First we will calculate the prime factors of 315 and 326.
Prime Factorization of 315
Prime factors of 315 are 3, 5, 7. Prime factorization of 315 in exponential form is:
315 = 32 × 51 × 71
Prime Factorization of 326
Prime factors of 326 are 2, 163. Prime factorization of 326 in exponential form is:
326 = 21 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 326.
LCM(315,326) = 32 × 51 × 71 × 21 × 1631
LCM(315,326) = 102690
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