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What is the Least Common Multiple of 91430 and 91450?

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 91430 and 91450 is 836127350.

LCM(91430,91450) = 836127350

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Least Common Multiple of 91430 and 91450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91430 and 91450, than apply into the LCM equation.

GCF(91430,91450) = 10
LCM(91430,91450) = ( 91430 × 91450) / 10
LCM(91430,91450) = 8361273500 / 10
LCM(91430,91450) = 836127350

Least Common Multiple (LCM) of 91430 and 91450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91430 and 91450. First we will calculate the prime factors of 91430 and 91450.

Prime Factorization of 91430

Prime factors of 91430 are 2, 5, 41, 223. Prime factorization of 91430 in exponential form is:

91430 = 21 × 51 × 411 × 2231

Prime Factorization of 91450

Prime factors of 91450 are 2, 5, 31, 59. Prime factorization of 91450 in exponential form is:

91450 = 21 × 52 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 91430 and 91450.

LCM(91430,91450) = 21 × 52 × 411 × 2231 × 311 × 591
LCM(91430,91450) = 836127350