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What is the Least Common Multiple of 63770 and 63787?

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 63770 and 63787 is 4067696990.

LCM(63770,63787) = 4067696990

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Least Common Multiple of 63770 and 63787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63770 and 63787, than apply into the LCM equation.

GCF(63770,63787) = 1
LCM(63770,63787) = ( 63770 × 63787) / 1
LCM(63770,63787) = 4067696990 / 1
LCM(63770,63787) = 4067696990

Least Common Multiple (LCM) of 63770 and 63787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63770 and 63787. First we will calculate the prime factors of 63770 and 63787.

Prime Factorization of 63770

Prime factors of 63770 are 2, 5, 7, 911. Prime factorization of 63770 in exponential form is:

63770 = 21 × 51 × 71 × 9111

Prime Factorization of 63787

Prime factors of 63787 are 227, 281. Prime factorization of 63787 in exponential form is:

63787 = 2271 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 63770 and 63787.

LCM(63770,63787) = 21 × 51 × 71 × 9111 × 2271 × 2811
LCM(63770,63787) = 4067696990