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What is the Least Common Multiple of 59224 and 59244?

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 59224 and 59244 is 877166664.

LCM(59224,59244) = 877166664

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Least Common Multiple of 59224 and 59244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59224 and 59244, than apply into the LCM equation.

GCF(59224,59244) = 4
LCM(59224,59244) = ( 59224 × 59244) / 4
LCM(59224,59244) = 3508666656 / 4
LCM(59224,59244) = 877166664

Least Common Multiple (LCM) of 59224 and 59244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59224 and 59244. First we will calculate the prime factors of 59224 and 59244.

Prime Factorization of 59224

Prime factors of 59224 are 2, 11, 673. Prime factorization of 59224 in exponential form is:

59224 = 23 × 111 × 6731

Prime Factorization of 59244

Prime factors of 59244 are 2, 3, 4937. Prime factorization of 59244 in exponential form is:

59244 = 22 × 31 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 59224 and 59244.

LCM(59224,59244) = 23 × 111 × 6731 × 31 × 49371
LCM(59224,59244) = 877166664