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What is the Least Common Multiple of 64254 and 64263?

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 64254 and 64263 is 1376384934.

LCM(64254,64263) = 1376384934

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Least Common Multiple of 64254 and 64263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64254 and 64263, than apply into the LCM equation.

GCF(64254,64263) = 3
LCM(64254,64263) = ( 64254 × 64263) / 3
LCM(64254,64263) = 4129154802 / 3
LCM(64254,64263) = 1376384934

Least Common Multiple (LCM) of 64254 and 64263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64254 and 64263. First we will calculate the prime factors of 64254 and 64263.

Prime Factorization of 64254

Prime factors of 64254 are 2, 3, 10709. Prime factorization of 64254 in exponential form is:

64254 = 21 × 31 × 107091

Prime Factorization of 64263

Prime factors of 64263 are 3, 31, 691. Prime factorization of 64263 in exponential form is:

64263 = 31 × 311 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 64254 and 64263.

LCM(64254,64263) = 21 × 31 × 107091 × 311 × 6911
LCM(64254,64263) = 1376384934