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What is the Least Common Multiple of 63037 and 63054?

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 63037 and 63054 is 3974734998.

LCM(63037,63054) = 3974734998

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Least Common Multiple of 63037 and 63054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63037 and 63054, than apply into the LCM equation.

GCF(63037,63054) = 1
LCM(63037,63054) = ( 63037 × 63054) / 1
LCM(63037,63054) = 3974734998 / 1
LCM(63037,63054) = 3974734998

Least Common Multiple (LCM) of 63037 and 63054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63037 and 63054. First we will calculate the prime factors of 63037 and 63054.

Prime Factorization of 63037

Prime factors of 63037 are 13, 373. Prime factorization of 63037 in exponential form is:

63037 = 132 × 3731

Prime Factorization of 63054

Prime factors of 63054 are 2, 3, 31, 113. Prime factorization of 63054 in exponential form is:

63054 = 21 × 32 × 311 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 63037 and 63054.

LCM(63037,63054) = 132 × 3731 × 21 × 32 × 311 × 1131
LCM(63037,63054) = 3974734998