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What is the Least Common Multiple of 91723 and 91727?

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 91723 and 91727 is 8413475621.

LCM(91723,91727) = 8413475621

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Least Common Multiple of 91723 and 91727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91723 and 91727, than apply into the LCM equation.

GCF(91723,91727) = 1
LCM(91723,91727) = ( 91723 × 91727) / 1
LCM(91723,91727) = 8413475621 / 1
LCM(91723,91727) = 8413475621

Least Common Multiple (LCM) of 91723 and 91727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91723 and 91727. First we will calculate the prime factors of 91723 and 91727.

Prime Factorization of 91723

Prime factors of 91723 are 37, 67. Prime factorization of 91723 in exponential form is:

91723 = 372 × 671

Prime Factorization of 91727

Prime factors of 91727 are 29, 3163. Prime factorization of 91727 in exponential form is:

91727 = 291 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 91723 and 91727.

LCM(91723,91727) = 372 × 671 × 291 × 31631
LCM(91723,91727) = 8413475621