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What is the Least Common Multiple of 51727 and 51741?

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 51727 and 51741 is 2676406707.

LCM(51727,51741) = 2676406707

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Least Common Multiple of 51727 and 51741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51727 and 51741, than apply into the LCM equation.

GCF(51727,51741) = 1
LCM(51727,51741) = ( 51727 × 51741) / 1
LCM(51727,51741) = 2676406707 / 1
LCM(51727,51741) = 2676406707

Least Common Multiple (LCM) of 51727 and 51741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51727 and 51741. First we will calculate the prime factors of 51727 and 51741.

Prime Factorization of 51727

Prime factors of 51727 are 13, 23, 173. Prime factorization of 51727 in exponential form is:

51727 = 131 × 231 × 1731

Prime Factorization of 51741

Prime factors of 51741 are 3, 5749. Prime factorization of 51741 in exponential form is:

51741 = 32 × 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 51727 and 51741.

LCM(51727,51741) = 131 × 231 × 1731 × 32 × 57491
LCM(51727,51741) = 2676406707