What is the Least Common Multiple of 88711 and 88726?
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 88711 and 88726 is 7870972186.
LCM(88711,88726) = 7870972186
Least Common Multiple of 88711 and 88726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88711 and 88726, than apply into the LCM equation.
GCF(88711,88726) = 1
LCM(88711,88726) = ( 88711 × 88726) / 1
LCM(88711,88726) = 7870972186 / 1
LCM(88711,88726) = 7870972186
Least Common Multiple (LCM) of 88711 and 88726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88711 and 88726. First we will calculate the prime factors of 88711 and 88726.
Prime Factorization of 88711
Prime factors of 88711 are 7, 19, 23, 29. Prime factorization of 88711 in exponential form is:
88711 = 71 × 191 × 231 × 291
Prime Factorization of 88726
Prime factors of 88726 are 2, 11, 37, 109. Prime factorization of 88726 in exponential form is:
88726 = 21 × 111 × 371 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 88711 and 88726.
LCM(88711,88726) = 71 × 191 × 231 × 291 × 21 × 111 × 371 × 1091
LCM(88711,88726) = 7870972186
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