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What is the Least Common Multiple of 91208 and 91218?

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 91208 and 91218 is 4159905672.

LCM(91208,91218) = 4159905672

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Least Common Multiple of 91208 and 91218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91208 and 91218, than apply into the LCM equation.

GCF(91208,91218) = 2
LCM(91208,91218) = ( 91208 × 91218) / 2
LCM(91208,91218) = 8319811344 / 2
LCM(91208,91218) = 4159905672

Least Common Multiple (LCM) of 91208 and 91218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91208 and 91218. First we will calculate the prime factors of 91208 and 91218.

Prime Factorization of 91208

Prime factors of 91208 are 2, 13, 877. Prime factorization of 91208 in exponential form is:

91208 = 23 × 131 × 8771

Prime Factorization of 91218

Prime factors of 91218 are 2, 3, 23, 661. Prime factorization of 91218 in exponential form is:

91218 = 21 × 31 × 231 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 91208 and 91218.

LCM(91208,91218) = 23 × 131 × 8771 × 31 × 231 × 6611
LCM(91208,91218) = 4159905672