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What is the Least Common Multiple of 1242 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 1242 and 1261 is 1566162.

LCM(1242,1261) = 1566162

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Least Common Multiple of 1242 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 1242 and 1261, than apply into the LCM equation.

GCF(1242,1261) = 1
LCM(1242,1261) = ( 1242 × 1261) / 1
LCM(1242,1261) = 1566162 / 1
LCM(1242,1261) = 1566162

Least Common Multiple (LCM) of 1242 and 1261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1242 and 1261. First we will calculate the prime factors of 1242 and 1261.

Prime Factorization of 1242

Prime factors of 1242 are 2, 3, 23. Prime factorization of 1242 in exponential form is:

1242 = 21 × 33 × 231

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 1242 and 1261.

LCM(1242,1261) = 21 × 33 × 231 × 131 × 971
LCM(1242,1261) = 1566162