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What is the Least Common Multiple of 1241 and 1246?

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 1241 and 1246 is 1546286.

LCM(1241,1246) = 1546286

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Least Common Multiple of 1241 and 1246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1241 and 1246, than apply into the LCM equation.

GCF(1241,1246) = 1
LCM(1241,1246) = ( 1241 × 1246) / 1
LCM(1241,1246) = 1546286 / 1
LCM(1241,1246) = 1546286

Least Common Multiple (LCM) of 1241 and 1246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1241 and 1246. First we will calculate the prime factors of 1241 and 1246.

Prime Factorization of 1241

Prime factors of 1241 are 17, 73. Prime factorization of 1241 in exponential form is:

1241 = 171 × 731

Prime Factorization of 1246

Prime factors of 1246 are 2, 7, 89. Prime factorization of 1246 in exponential form is:

1246 = 21 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 1241 and 1246.

LCM(1241,1246) = 171 × 731 × 21 × 71 × 891
LCM(1241,1246) = 1546286