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What is the Least Common Multiple of 91953 and 91958?

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 91953 and 91958 is 8455813974.

LCM(91953,91958) = 8455813974

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Least Common Multiple of 91953 and 91958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91953 and 91958, than apply into the LCM equation.

GCF(91953,91958) = 1
LCM(91953,91958) = ( 91953 × 91958) / 1
LCM(91953,91958) = 8455813974 / 1
LCM(91953,91958) = 8455813974

Least Common Multiple (LCM) of 91953 and 91958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91953 and 91958. First we will calculate the prime factors of 91953 and 91958.

Prime Factorization of 91953

Prime factors of 91953 are 3, 17, 601. Prime factorization of 91953 in exponential form is:

91953 = 32 × 171 × 6011

Prime Factorization of 91958

Prime factors of 91958 are 2, 45979. Prime factorization of 91958 in exponential form is:

91958 = 21 × 459791

Now multiplying the highest exponent prime factors to calculate the LCM of 91953 and 91958.

LCM(91953,91958) = 32 × 171 × 6011 × 21 × 459791
LCM(91953,91958) = 8455813974