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What is the Least Common Multiple of 36457 and 36461?

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 36457 and 36461 is 1329258677.

LCM(36457,36461) = 1329258677

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Least Common Multiple of 36457 and 36461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36457 and 36461, than apply into the LCM equation.

GCF(36457,36461) = 1
LCM(36457,36461) = ( 36457 × 36461) / 1
LCM(36457,36461) = 1329258677 / 1
LCM(36457,36461) = 1329258677

Least Common Multiple (LCM) of 36457 and 36461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36457 and 36461. First we will calculate the prime factors of 36457 and 36461.

Prime Factorization of 36457

Prime factors of 36457 are 36457. Prime factorization of 36457 in exponential form is:

36457 = 364571

Prime Factorization of 36461

Prime factors of 36461 are 19, 101. Prime factorization of 36461 in exponential form is:

36461 = 192 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 36457 and 36461.

LCM(36457,36461) = 364571 × 192 × 1011
LCM(36457,36461) = 1329258677