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What is the Least Common Multiple of 91922 and 91933?

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 91922 and 91933 is 8450665226.

LCM(91922,91933) = 8450665226

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Least Common Multiple of 91922 and 91933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91922 and 91933, than apply into the LCM equation.

GCF(91922,91933) = 1
LCM(91922,91933) = ( 91922 × 91933) / 1
LCM(91922,91933) = 8450665226 / 1
LCM(91922,91933) = 8450665226

Least Common Multiple (LCM) of 91922 and 91933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91922 and 91933. First we will calculate the prime factors of 91922 and 91933.

Prime Factorization of 91922

Prime factors of 91922 are 2, 19, 41, 59. Prime factorization of 91922 in exponential form is:

91922 = 21 × 191 × 411 × 591

Prime Factorization of 91933

Prime factors of 91933 are 149, 617. Prime factorization of 91933 in exponential form is:

91933 = 1491 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 91922 and 91933.

LCM(91922,91933) = 21 × 191 × 411 × 591 × 1491 × 6171
LCM(91922,91933) = 8450665226