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What is the Least Common Multiple of 62911 and 62923?

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 62911 and 62923 is 3958548853.

LCM(62911,62923) = 3958548853

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Least Common Multiple of 62911 and 62923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62911 and 62923, than apply into the LCM equation.

GCF(62911,62923) = 1
LCM(62911,62923) = ( 62911 × 62923) / 1
LCM(62911,62923) = 3958548853 / 1
LCM(62911,62923) = 3958548853

Least Common Multiple (LCM) of 62911 and 62923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62911 and 62923. First we will calculate the prime factors of 62911 and 62923.

Prime Factorization of 62911

Prime factors of 62911 are 53, 1187. Prime factorization of 62911 in exponential form is:

62911 = 531 × 11871

Prime Factorization of 62923

Prime factors of 62923 are 7, 89, 101. Prime factorization of 62923 in exponential form is:

62923 = 71 × 891 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 62911 and 62923.

LCM(62911,62923) = 531 × 11871 × 71 × 891 × 1011
LCM(62911,62923) = 3958548853