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What is the Least Common Multiple of 64989 and 65003?

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 64989 and 65003 is 4224479967.

LCM(64989,65003) = 4224479967

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Least Common Multiple of 64989 and 65003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64989 and 65003, than apply into the LCM equation.

GCF(64989,65003) = 1
LCM(64989,65003) = ( 64989 × 65003) / 1
LCM(64989,65003) = 4224479967 / 1
LCM(64989,65003) = 4224479967

Least Common Multiple (LCM) of 64989 and 65003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64989 and 65003. First we will calculate the prime factors of 64989 and 65003.

Prime Factorization of 64989

Prime factors of 64989 are 3, 29, 83. Prime factorization of 64989 in exponential form is:

64989 = 33 × 291 × 831

Prime Factorization of 65003

Prime factors of 65003 are 65003. Prime factorization of 65003 in exponential form is:

65003 = 650031

Now multiplying the highest exponent prime factors to calculate the LCM of 64989 and 65003.

LCM(64989,65003) = 33 × 291 × 831 × 650031
LCM(64989,65003) = 4224479967