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What is the Least Common Multiple of 91921 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 91921 and 91927 is 8450021767.

LCM(91921,91927) = 8450021767

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Least Common Multiple of 91921 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 91921 and 91927, than apply into the LCM equation.

GCF(91921,91927) = 1
LCM(91921,91927) = ( 91921 × 91927) / 1
LCM(91921,91927) = 8450021767 / 1
LCM(91921,91927) = 8450021767

Least Common Multiple (LCM) of 91921 and 91927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91921 and 91927. First we will calculate the prime factors of 91921 and 91927.

Prime Factorization of 91921

Prime factors of 91921 are 91921. Prime factorization of 91921 in exponential form is:

91921 = 919211

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 91921 and 91927.

LCM(91921,91927) = 919211 × 111 × 611 × 1371
LCM(91921,91927) = 8450021767