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What is the Least Common Multiple of 91954 and 91967?

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 91967 is 8456733518.

LCM(91954,91967) = 8456733518

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Least Common Multiple of 91954 and 91967 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 91967, than apply into the LCM equation.

GCF(91954,91967) = 1
LCM(91954,91967) = ( 91954 × 91967) / 1
LCM(91954,91967) = 8456733518 / 1
LCM(91954,91967) = 8456733518

Least Common Multiple (LCM) of 91954 and 91967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91954 and 91967. First we will calculate the prime factors of 91954 and 91967.

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 91967

Prime factors of 91967 are 91967. Prime factorization of 91967 in exponential form is:

91967 = 919671

Now multiplying the highest exponent prime factors to calculate the LCM of 91954 and 91967.

LCM(91954,91967) = 21 × 231 × 19991 × 919671
LCM(91954,91967) = 8456733518