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What is the Least Common Multiple of 1235 and 1243?

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 1235 and 1243 is 1535105.

LCM(1235,1243) = 1535105

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Least Common Multiple of 1235 and 1243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1235 and 1243, than apply into the LCM equation.

GCF(1235,1243) = 1
LCM(1235,1243) = ( 1235 × 1243) / 1
LCM(1235,1243) = 1535105 / 1
LCM(1235,1243) = 1535105

Least Common Multiple (LCM) of 1235 and 1243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1235 and 1243. First we will calculate the prime factors of 1235 and 1243.

Prime Factorization of 1235

Prime factors of 1235 are 5, 13, 19. Prime factorization of 1235 in exponential form is:

1235 = 51 × 131 × 191

Prime Factorization of 1243

Prime factors of 1243 are 11, 113. Prime factorization of 1243 in exponential form is:

1243 = 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1235 and 1243.

LCM(1235,1243) = 51 × 131 × 191 × 111 × 1131
LCM(1235,1243) = 1535105