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What is the Least Common Multiple of 93249 and 93253?

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 93249 and 93253 is 8695748997.

LCM(93249,93253) = 8695748997

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Least Common Multiple of 93249 and 93253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93249 and 93253, than apply into the LCM equation.

GCF(93249,93253) = 1
LCM(93249,93253) = ( 93249 × 93253) / 1
LCM(93249,93253) = 8695748997 / 1
LCM(93249,93253) = 8695748997

Least Common Multiple (LCM) of 93249 and 93253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93249 and 93253. First we will calculate the prime factors of 93249 and 93253.

Prime Factorization of 93249

Prime factors of 93249 are 3, 13, 797. Prime factorization of 93249 in exponential form is:

93249 = 32 × 131 × 7971

Prime Factorization of 93253

Prime factors of 93253 are 93253. Prime factorization of 93253 in exponential form is:

93253 = 932531

Now multiplying the highest exponent prime factors to calculate the LCM of 93249 and 93253.

LCM(93249,93253) = 32 × 131 × 7971 × 932531
LCM(93249,93253) = 8695748997