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What is the Least Common Multiple of 62721 and 62728?

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 62721 and 62728 is 3934362888.

LCM(62721,62728) = 3934362888

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Least Common Multiple of 62721 and 62728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62721 and 62728, than apply into the LCM equation.

GCF(62721,62728) = 1
LCM(62721,62728) = ( 62721 × 62728) / 1
LCM(62721,62728) = 3934362888 / 1
LCM(62721,62728) = 3934362888

Least Common Multiple (LCM) of 62721 and 62728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62721 and 62728. First we will calculate the prime factors of 62721 and 62728.

Prime Factorization of 62721

Prime factors of 62721 are 3, 23, 101. Prime factorization of 62721 in exponential form is:

62721 = 33 × 231 × 1011

Prime Factorization of 62728

Prime factors of 62728 are 2, 7841. Prime factorization of 62728 in exponential form is:

62728 = 23 × 78411

Now multiplying the highest exponent prime factors to calculate the LCM of 62721 and 62728.

LCM(62721,62728) = 33 × 231 × 1011 × 23 × 78411
LCM(62721,62728) = 3934362888