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What is the Least Common Multiple of 60934 and 60941?

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 60934 and 60941 is 3713378894.

LCM(60934,60941) = 3713378894

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Least Common Multiple of 60934 and 60941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60934 and 60941, than apply into the LCM equation.

GCF(60934,60941) = 1
LCM(60934,60941) = ( 60934 × 60941) / 1
LCM(60934,60941) = 3713378894 / 1
LCM(60934,60941) = 3713378894

Least Common Multiple (LCM) of 60934 and 60941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60934 and 60941. First we will calculate the prime factors of 60934 and 60941.

Prime Factorization of 60934

Prime factors of 60934 are 2, 30467. Prime factorization of 60934 in exponential form is:

60934 = 21 × 304671

Prime Factorization of 60941

Prime factors of 60941 are 149, 409. Prime factorization of 60941 in exponential form is:

60941 = 1491 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 60934 and 60941.

LCM(60934,60941) = 21 × 304671 × 1491 × 4091
LCM(60934,60941) = 3713378894