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What is the Least Common Multiple of 91954 and 91974?

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 91954 and 91974 is 4228688598.

LCM(91954,91974) = 4228688598

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Least Common Multiple of 91954 and 91974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91954 and 91974, than apply into the LCM equation.

GCF(91954,91974) = 2
LCM(91954,91974) = ( 91954 × 91974) / 2
LCM(91954,91974) = 8457377196 / 2
LCM(91954,91974) = 4228688598

Least Common Multiple (LCM) of 91954 and 91974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91954 and 91974. First we will calculate the prime factors of 91954 and 91974.

Prime Factorization of 91954

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

91954 = 21 × 231 × 19991

Prime Factorization of 91974

Prime factors of 91974 are 2, 3, 15329. Prime factorization of 91974 in exponential form is:

91974 = 21 × 31 × 153291

Now multiplying the highest exponent prime factors to calculate the LCM of 91954 and 91974.

LCM(91954,91974) = 21 × 231 × 19991 × 31 × 153291
LCM(91954,91974) = 4228688598