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What is the Least Common Multiple of 91922 and 91927?

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 91927 is 8450113694.

LCM(91922,91927) = 8450113694

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Least Common Multiple of 91922 and 91927 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 91927, than apply into the LCM equation.

GCF(91922,91927) = 1
LCM(91922,91927) = ( 91922 × 91927) / 1
LCM(91922,91927) = 8450113694 / 1
LCM(91922,91927) = 8450113694

Least Common Multiple (LCM) of 91922 and 91927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91922 and 91927. First we will calculate the prime factors of 91922 and 91927.

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 91927

Prime factors of 91927 are 11, 61, 137. Prime factorization of 91927 in exponential form is:

91927 = 111 × 611 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 91922 and 91927.

LCM(91922,91927) = 21 × 191 × 411 × 591 × 111 × 611 × 1371
LCM(91922,91927) = 8450113694