What is the Least Common Multiple of 91711 and 91715?
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 91711 and 91715 is 8411274365.
LCM(91711,91715) = 8411274365
Least Common Multiple of 91711 and 91715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91711 and 91715, than apply into the LCM equation.
GCF(91711,91715) = 1
LCM(91711,91715) = ( 91711 × 91715) / 1
LCM(91711,91715) = 8411274365 / 1
LCM(91711,91715) = 8411274365
Least Common Multiple (LCM) of 91711 and 91715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91711 and 91715. First we will calculate the prime factors of 91711 and 91715.
Prime Factorization of 91711
Prime factors of 91711 are 91711. Prime factorization of 91711 in exponential form is:
91711 = 917111
Prime Factorization of 91715
Prime factors of 91715 are 5, 13, 17, 83. Prime factorization of 91715 in exponential form is:
91715 = 51 × 131 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 91711 and 91715.
LCM(91711,91715) = 917111 × 51 × 131 × 171 × 831
LCM(91711,91715) = 8411274365
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