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What is the Least Common Multiple of 91938 and 91954?

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 91938 and 91954 is 4227033426.

LCM(91938,91954) = 4227033426

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Least Common Multiple of 91938 and 91954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91938 and 91954, than apply into the LCM equation.

GCF(91938,91954) = 2
LCM(91938,91954) = ( 91938 × 91954) / 2
LCM(91938,91954) = 8454066852 / 2
LCM(91938,91954) = 4227033426

Least Common Multiple (LCM) of 91938 and 91954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91938 and 91954. First we will calculate the prime factors of 91938 and 91954.

Prime Factorization of 91938

Prime factors of 91938 are 2, 3, 7, 11, 199. Prime factorization of 91938 in exponential form is:

91938 = 21 × 31 × 71 × 111 × 1991

Prime Factorization of 91954

Prime factors of 91954 are 2, 23, 1999. Prime factorization of 91954 in exponential form is:

91954 = 21 × 231 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 91938 and 91954.

LCM(91938,91954) = 21 × 31 × 71 × 111 × 1991 × 231 × 19991
LCM(91938,91954) = 4227033426