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What is the Least Common Multiple of 91211 and 91220?

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 91211 and 91220 is 8320267420.

LCM(91211,91220) = 8320267420

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Least Common Multiple of 91211 and 91220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91211 and 91220, than apply into the LCM equation.

GCF(91211,91220) = 1
LCM(91211,91220) = ( 91211 × 91220) / 1
LCM(91211,91220) = 8320267420 / 1
LCM(91211,91220) = 8320267420

Least Common Multiple (LCM) of 91211 and 91220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91211 and 91220. First we will calculate the prime factors of 91211 and 91220.

Prime Factorization of 91211

Prime factors of 91211 are 197, 463. Prime factorization of 91211 in exponential form is:

91211 = 1971 × 4631

Prime Factorization of 91220

Prime factors of 91220 are 2, 5, 4561. Prime factorization of 91220 in exponential form is:

91220 = 22 × 51 × 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 91211 and 91220.

LCM(91211,91220) = 1971 × 4631 × 22 × 51 × 45611
LCM(91211,91220) = 8320267420