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What is the Least Common Multiple of 60933 and 60947?

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 60933 and 60947 is 3713683551.

LCM(60933,60947) = 3713683551

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Least Common Multiple of 60933 and 60947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60933 and 60947, than apply into the LCM equation.

GCF(60933,60947) = 1
LCM(60933,60947) = ( 60933 × 60947) / 1
LCM(60933,60947) = 3713683551 / 1
LCM(60933,60947) = 3713683551

Least Common Multiple (LCM) of 60933 and 60947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60933 and 60947. First we will calculate the prime factors of 60933 and 60947.

Prime Factorization of 60933

Prime factors of 60933 are 3, 19, 1069. Prime factorization of 60933 in exponential form is:

60933 = 31 × 191 × 10691

Prime Factorization of 60947

Prime factors of 60947 are 59, 1033. Prime factorization of 60947 in exponential form is:

60947 = 591 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 60933 and 60947.

LCM(60933,60947) = 31 × 191 × 10691 × 591 × 10331
LCM(60933,60947) = 3713683551