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What is the Least Common Multiple of 91220 and 91229?

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 91220 and 91229 is 8321909380.

LCM(91220,91229) = 8321909380

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Least Common Multiple of 91220 and 91229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91220 and 91229, than apply into the LCM equation.

GCF(91220,91229) = 1
LCM(91220,91229) = ( 91220 × 91229) / 1
LCM(91220,91229) = 8321909380 / 1
LCM(91220,91229) = 8321909380

Least Common Multiple (LCM) of 91220 and 91229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91220 and 91229. First we will calculate the prime factors of 91220 and 91229.

Prime Factorization of 91220

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

91220 = 22 × 51 × 45611

Prime Factorization of 91229

Prime factors of 91229 are 91229. Prime factorization of 91229 in exponential form is:

91229 = 912291

Now multiplying the highest exponent prime factors to calculate the LCM of 91220 and 91229.

LCM(91220,91229) = 22 × 51 × 45611 × 912291
LCM(91220,91229) = 8321909380