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What is the Least Common Multiple of 50633 and 50648?

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 50633 and 50648 is 2564460184.

LCM(50633,50648) = 2564460184

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Least Common Multiple of 50633 and 50648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50633 and 50648, than apply into the LCM equation.

GCF(50633,50648) = 1
LCM(50633,50648) = ( 50633 × 50648) / 1
LCM(50633,50648) = 2564460184 / 1
LCM(50633,50648) = 2564460184

Least Common Multiple (LCM) of 50633 and 50648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50633 and 50648. First we will calculate the prime factors of 50633 and 50648.

Prime Factorization of 50633

Prime factors of 50633 are 11, 4603. Prime factorization of 50633 in exponential form is:

50633 = 111 × 46031

Prime Factorization of 50648

Prime factors of 50648 are 2, 13, 487. Prime factorization of 50648 in exponential form is:

50648 = 23 × 131 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 50633 and 50648.

LCM(50633,50648) = 111 × 46031 × 23 × 131 × 4871
LCM(50633,50648) = 2564460184