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What is the Least Common Multiple of 1308 and 1315?

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 1308 and 1315 is 1720020.

LCM(1308,1315) = 1720020

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Least Common Multiple of 1308 and 1315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1308 and 1315, than apply into the LCM equation.

GCF(1308,1315) = 1
LCM(1308,1315) = ( 1308 × 1315) / 1
LCM(1308,1315) = 1720020 / 1
LCM(1308,1315) = 1720020

Least Common Multiple (LCM) of 1308 and 1315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1308 and 1315. First we will calculate the prime factors of 1308 and 1315.

Prime Factorization of 1308

Prime factors of 1308 are 2, 3, 109. Prime factorization of 1308 in exponential form is:

1308 = 22 × 31 × 1091

Prime Factorization of 1315

Prime factors of 1315 are 5, 263. Prime factorization of 1315 in exponential form is:

1315 = 51 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 1308 and 1315.

LCM(1308,1315) = 22 × 31 × 1091 × 51 × 2631
LCM(1308,1315) = 1720020