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What is the Least Common Multiple of 53722 and 53737?

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 53722 and 53737 is 2886859114.

LCM(53722,53737) = 2886859114

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Least Common Multiple of 53722 and 53737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53722 and 53737, than apply into the LCM equation.

GCF(53722,53737) = 1
LCM(53722,53737) = ( 53722 × 53737) / 1
LCM(53722,53737) = 2886859114 / 1
LCM(53722,53737) = 2886859114

Least Common Multiple (LCM) of 53722 and 53737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53722 and 53737. First we will calculate the prime factors of 53722 and 53737.

Prime Factorization of 53722

Prime factors of 53722 are 2, 26861. Prime factorization of 53722 in exponential form is:

53722 = 21 × 268611

Prime Factorization of 53737

Prime factors of 53737 are 17, 29, 109. Prime factorization of 53737 in exponential form is:

53737 = 171 × 291 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 53722 and 53737.

LCM(53722,53737) = 21 × 268611 × 171 × 291 × 1091
LCM(53722,53737) = 2886859114