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What is the Least Common Multiple of 41379 and 41393?

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 41379 and 41393 is 1712800947.

LCM(41379,41393) = 1712800947

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Least Common Multiple of 41379 and 41393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41379 and 41393, than apply into the LCM equation.

GCF(41379,41393) = 1
LCM(41379,41393) = ( 41379 × 41393) / 1
LCM(41379,41393) = 1712800947 / 1
LCM(41379,41393) = 1712800947

Least Common Multiple (LCM) of 41379 and 41393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41379 and 41393. First we will calculate the prime factors of 41379 and 41393.

Prime Factorization of 41379

Prime factors of 41379 are 3, 13, 1061. Prime factorization of 41379 in exponential form is:

41379 = 31 × 131 × 10611

Prime Factorization of 41393

Prime factors of 41393 are 11, 53, 71. Prime factorization of 41393 in exponential form is:

41393 = 111 × 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 41379 and 41393.

LCM(41379,41393) = 31 × 131 × 10611 × 111 × 531 × 711
LCM(41379,41393) = 1712800947