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What is the Least Common Multiple of 649 and 656?

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 649 and 656 is 425744.

LCM(649,656) = 425744

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Least Common Multiple of 649 and 656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 656, than apply into the LCM equation.

GCF(649,656) = 1
LCM(649,656) = ( 649 × 656) / 1
LCM(649,656) = 425744 / 1
LCM(649,656) = 425744

Least Common Multiple (LCM) of 649 and 656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 656. First we will calculate the prime factors of 649 and 656.

Prime Factorization of 649

Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:

649 = 111 × 591

Prime Factorization of 656

Prime factors of 656 are 2, 41. Prime factorization of 656 in exponential form is:

656 = 24 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 656.

LCM(649,656) = 111 × 591 × 24 × 411
LCM(649,656) = 425744