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What is the Least Common Multiple of 89302 and 89319?

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 89302 and 89319 is 7976365338.

LCM(89302,89319) = 7976365338

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Least Common Multiple of 89302 and 89319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89302 and 89319, than apply into the LCM equation.

GCF(89302,89319) = 1
LCM(89302,89319) = ( 89302 × 89319) / 1
LCM(89302,89319) = 7976365338 / 1
LCM(89302,89319) = 7976365338

Least Common Multiple (LCM) of 89302 and 89319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89302 and 89319. First we will calculate the prime factors of 89302 and 89319.

Prime Factorization of 89302

Prime factors of 89302 are 2, 44651. Prime factorization of 89302 in exponential form is:

89302 = 21 × 446511

Prime Factorization of 89319

Prime factors of 89319 are 3, 19, 1567. Prime factorization of 89319 in exponential form is:

89319 = 31 × 191 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 89302 and 89319.

LCM(89302,89319) = 21 × 446511 × 31 × 191 × 15671
LCM(89302,89319) = 7976365338