What is the Least Common Multiple of 31306 and 31318?
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 31306 and 31318 is 490220654.
LCM(31306,31318) = 490220654
Least Common Multiple of 31306 and 31318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31306 and 31318, than apply into the LCM equation.
GCF(31306,31318) = 2
LCM(31306,31318) = ( 31306 × 31318) / 2
LCM(31306,31318) = 980441308 / 2
LCM(31306,31318) = 490220654
Least Common Multiple (LCM) of 31306 and 31318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31306 and 31318. First we will calculate the prime factors of 31306 and 31318.
Prime Factorization of 31306
Prime factors of 31306 are 2, 11, 1423. Prime factorization of 31306 in exponential form is:
31306 = 21 × 111 × 14231
Prime Factorization of 31318
Prime factors of 31318 are 2, 7, 2237. Prime factorization of 31318 in exponential form is:
31318 = 21 × 71 × 22371
Now multiplying the highest exponent prime factors to calculate the LCM of 31306 and 31318.
LCM(31306,31318) = 21 × 111 × 14231 × 71 × 22371
LCM(31306,31318) = 490220654
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