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What is the Least Common Multiple of 50611 and 50622?

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 50611 and 50622 is 232911822.

LCM(50611,50622) = 232911822

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Least Common Multiple of 50611 and 50622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50611 and 50622, than apply into the LCM equation.

GCF(50611,50622) = 11
LCM(50611,50622) = ( 50611 × 50622) / 11
LCM(50611,50622) = 2562030042 / 11
LCM(50611,50622) = 232911822

Least Common Multiple (LCM) of 50611 and 50622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50611 and 50622. First we will calculate the prime factors of 50611 and 50622.

Prime Factorization of 50611

Prime factors of 50611 are 11, 43, 107. Prime factorization of 50611 in exponential form is:

50611 = 111 × 431 × 1071

Prime Factorization of 50622

Prime factors of 50622 are 2, 3, 11, 13, 59. Prime factorization of 50622 in exponential form is:

50622 = 21 × 31 × 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 50611 and 50622.

LCM(50611,50622) = 111 × 431 × 1071 × 21 × 31 × 131 × 591
LCM(50611,50622) = 232911822