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What is the Least Common Multiple of 89515 and 89531?

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 89515 and 89531 is 8014367465.

LCM(89515,89531) = 8014367465

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Least Common Multiple of 89515 and 89531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89515 and 89531, than apply into the LCM equation.

GCF(89515,89531) = 1
LCM(89515,89531) = ( 89515 × 89531) / 1
LCM(89515,89531) = 8014367465 / 1
LCM(89515,89531) = 8014367465

Least Common Multiple (LCM) of 89515 and 89531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89515 and 89531. First we will calculate the prime factors of 89515 and 89531.

Prime Factorization of 89515

Prime factors of 89515 are 5, 17903. Prime factorization of 89515 in exponential form is:

89515 = 51 × 179031

Prime Factorization of 89531

Prime factors of 89531 are 13, 71, 97. Prime factorization of 89531 in exponential form is:

89531 = 131 × 711 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 89515 and 89531.

LCM(89515,89531) = 51 × 179031 × 131 × 711 × 971
LCM(89515,89531) = 8014367465