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What is the Least Common Multiple of 41426 and 41437?

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 41426 and 41437 is 156051742.

LCM(41426,41437) = 156051742

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Least Common Multiple of 41426 and 41437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41426 and 41437, than apply into the LCM equation.

GCF(41426,41437) = 11
LCM(41426,41437) = ( 41426 × 41437) / 11
LCM(41426,41437) = 1716569162 / 11
LCM(41426,41437) = 156051742

Least Common Multiple (LCM) of 41426 and 41437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41426 and 41437. First we will calculate the prime factors of 41426 and 41437.

Prime Factorization of 41426

Prime factors of 41426 are 2, 7, 11, 269. Prime factorization of 41426 in exponential form is:

41426 = 21 × 71 × 111 × 2691

Prime Factorization of 41437

Prime factors of 41437 are 11, 3767. Prime factorization of 41437 in exponential form is:

41437 = 111 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 41426 and 41437.

LCM(41426,41437) = 21 × 71 × 111 × 2691 × 37671
LCM(41426,41437) = 156051742