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What is the Least Common Multiple of 63710 and 63722?

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 63710 and 63722 is 2029864310.

LCM(63710,63722) = 2029864310

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Least Common Multiple of 63710 and 63722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63710 and 63722, than apply into the LCM equation.

GCF(63710,63722) = 2
LCM(63710,63722) = ( 63710 × 63722) / 2
LCM(63710,63722) = 4059728620 / 2
LCM(63710,63722) = 2029864310

Least Common Multiple (LCM) of 63710 and 63722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63710 and 63722. First we will calculate the prime factors of 63710 and 63722.

Prime Factorization of 63710

Prime factors of 63710 are 2, 5, 23, 277. Prime factorization of 63710 in exponential form is:

63710 = 21 × 51 × 231 × 2771

Prime Factorization of 63722

Prime factors of 63722 are 2, 151, 211. Prime factorization of 63722 in exponential form is:

63722 = 21 × 1511 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 63710 and 63722.

LCM(63710,63722) = 21 × 51 × 231 × 2771 × 1511 × 2111
LCM(63710,63722) = 2029864310