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What is the Least Common Multiple of 59422 and 59427?

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 59422 and 59427 is 3531271194.

LCM(59422,59427) = 3531271194

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Least Common Multiple of 59422 and 59427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59422 and 59427, than apply into the LCM equation.

GCF(59422,59427) = 1
LCM(59422,59427) = ( 59422 × 59427) / 1
LCM(59422,59427) = 3531271194 / 1
LCM(59422,59427) = 3531271194

Least Common Multiple (LCM) of 59422 and 59427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59422 and 59427. First we will calculate the prime factors of 59422 and 59427.

Prime Factorization of 59422

Prime factors of 59422 are 2, 11, 37, 73. Prime factorization of 59422 in exponential form is:

59422 = 21 × 111 × 371 × 731

Prime Factorization of 59427

Prime factors of 59427 are 3, 31, 71. Prime factorization of 59427 in exponential form is:

59427 = 33 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 59422 and 59427.

LCM(59422,59427) = 21 × 111 × 371 × 731 × 33 × 311 × 711
LCM(59422,59427) = 3531271194