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What is the Least Common Multiple of 1243 and 1261?

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 1243 and 1261 is 1567423.

LCM(1243,1261) = 1567423

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Least Common Multiple of 1243 and 1261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1243 and 1261, than apply into the LCM equation.

GCF(1243,1261) = 1
LCM(1243,1261) = ( 1243 × 1261) / 1
LCM(1243,1261) = 1567423 / 1
LCM(1243,1261) = 1567423

Least Common Multiple (LCM) of 1243 and 1261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1243 and 1261. First we will calculate the prime factors of 1243 and 1261.

Prime Factorization of 1243

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

1243 = 111 × 1131

Prime Factorization of 1261

Prime factors of 1261 are 13, 97. Prime factorization of 1261 in exponential form is:

1261 = 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1243 and 1261.

LCM(1243,1261) = 111 × 1131 × 131 × 971
LCM(1243,1261) = 1567423