What is the Least Common Multiple of 88771 and 88776?
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 88771 and 88776 is 7880734296.
LCM(88771,88776) = 7880734296
Least Common Multiple of 88771 and 88776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88771 and 88776, than apply into the LCM equation.
GCF(88771,88776) = 1
LCM(88771,88776) = ( 88771 × 88776) / 1
LCM(88771,88776) = 7880734296 / 1
LCM(88771,88776) = 7880734296
Least Common Multiple (LCM) of 88771 and 88776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88771 and 88776. First we will calculate the prime factors of 88771 and 88776.
Prime Factorization of 88771
Prime factors of 88771 are 88771. Prime factorization of 88771 in exponential form is:
88771 = 887711
Prime Factorization of 88776
Prime factors of 88776 are 2, 3, 137. Prime factorization of 88776 in exponential form is:
88776 = 23 × 34 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 88771 and 88776.
LCM(88771,88776) = 887711 × 23 × 34 × 1371
LCM(88771,88776) = 7880734296
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