What is the Least Common Multiple of 91761 and 91768?
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 91761 and 91768 is 8420723448.
LCM(91761,91768) = 8420723448
Least Common Multiple of 91761 and 91768 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91761 and 91768, than apply into the LCM equation.
GCF(91761,91768) = 1
LCM(91761,91768) = ( 91761 × 91768) / 1
LCM(91761,91768) = 8420723448 / 1
LCM(91761,91768) = 8420723448
Least Common Multiple (LCM) of 91761 and 91768 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91761 and 91768. First we will calculate the prime factors of 91761 and 91768.
Prime Factorization of 91761
Prime factors of 91761 are 3, 73, 419. Prime factorization of 91761 in exponential form is:
91761 = 31 × 731 × 4191
Prime Factorization of 91768
Prime factors of 91768 are 2, 11471. Prime factorization of 91768 in exponential form is:
91768 = 23 × 114711
Now multiplying the highest exponent prime factors to calculate the LCM of 91761 and 91768.
LCM(91761,91768) = 31 × 731 × 4191 × 23 × 114711
LCM(91761,91768) = 8420723448
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