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What is the Least Common Multiple of 74527 and 74531?

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 74527 and 74531 is 5554571837.

LCM(74527,74531) = 5554571837

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Least Common Multiple of 74527 and 74531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74527 and 74531, than apply into the LCM equation.

GCF(74527,74531) = 1
LCM(74527,74531) = ( 74527 × 74531) / 1
LCM(74527,74531) = 5554571837 / 1
LCM(74527,74531) = 5554571837

Least Common Multiple (LCM) of 74527 and 74531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74527 and 74531. First we will calculate the prime factors of 74527 and 74531.

Prime Factorization of 74527

Prime factors of 74527 are 74527. Prime factorization of 74527 in exponential form is:

74527 = 745271

Prime Factorization of 74531

Prime factors of 74531 are 74531. Prime factorization of 74531 in exponential form is:

74531 = 745311

Now multiplying the highest exponent prime factors to calculate the LCM of 74527 and 74531.

LCM(74527,74531) = 745271 × 745311
LCM(74527,74531) = 5554571837