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What is the Least Common Multiple of 1270 and 1274?

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 1270 and 1274 is 808990.

LCM(1270,1274) = 808990

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Least Common Multiple of 1270 and 1274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1270 and 1274, than apply into the LCM equation.

GCF(1270,1274) = 2
LCM(1270,1274) = ( 1270 × 1274) / 2
LCM(1270,1274) = 1617980 / 2
LCM(1270,1274) = 808990

Least Common Multiple (LCM) of 1270 and 1274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1270 and 1274. First we will calculate the prime factors of 1270 and 1274.

Prime Factorization of 1270

Prime factors of 1270 are 2, 5, 127. Prime factorization of 1270 in exponential form is:

1270 = 21 × 51 × 1271

Prime Factorization of 1274

Prime factors of 1274 are 2, 7, 13. Prime factorization of 1274 in exponential form is:

1274 = 21 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1270 and 1274.

LCM(1270,1274) = 21 × 51 × 1271 × 72 × 131
LCM(1270,1274) = 808990