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What is the Least Common Multiple of 91927 and 91942?

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 91927 and 91942 is 8451952234.

LCM(91927,91942) = 8451952234

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Least Common Multiple of 91927 and 91942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91927 and 91942, than apply into the LCM equation.

GCF(91927,91942) = 1
LCM(91927,91942) = ( 91927 × 91942) / 1
LCM(91927,91942) = 8451952234 / 1
LCM(91927,91942) = 8451952234

Least Common Multiple (LCM) of 91927 and 91942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91927 and 91942. First we will calculate the prime factors of 91927 and 91942.

Prime Factorization of 91927

Prime factors of 91927 are 11, 61, 137. Prime factorization of 91927 in exponential form is:

91927 = 111 × 611 × 1371

Prime Factorization of 91942

Prime factors of 91942 are 2, 45971. Prime factorization of 91942 in exponential form is:

91942 = 21 × 459711

Now multiplying the highest exponent prime factors to calculate the LCM of 91927 and 91942.

LCM(91927,91942) = 111 × 611 × 1371 × 21 × 459711
LCM(91927,91942) = 8451952234