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What is the Least Common Multiple of 91919 and 91928?

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 91919 and 91928 is 8449929832.

LCM(91919,91928) = 8449929832

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Least Common Multiple of 91919 and 91928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91919 and 91928, than apply into the LCM equation.

GCF(91919,91928) = 1
LCM(91919,91928) = ( 91919 × 91928) / 1
LCM(91919,91928) = 8449929832 / 1
LCM(91919,91928) = 8449929832

Least Common Multiple (LCM) of 91919 and 91928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91919 and 91928. First we will calculate the prime factors of 91919 and 91928.

Prime Factorization of 91919

Prime factors of 91919 are 17, 5407. Prime factorization of 91919 in exponential form is:

91919 = 171 × 54071

Prime Factorization of 91928

Prime factors of 91928 are 2, 11491. Prime factorization of 91928 in exponential form is:

91928 = 23 × 114911

Now multiplying the highest exponent prime factors to calculate the LCM of 91919 and 91928.

LCM(91919,91928) = 171 × 54071 × 23 × 114911
LCM(91919,91928) = 8449929832