What is the Least Common Multiple of 88890 and 88897?
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 88890 and 88897 is 7902054330.
LCM(88890,88897) = 7902054330
Least Common Multiple of 88890 and 88897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88890 and 88897, than apply into the LCM equation.
GCF(88890,88897) = 1
LCM(88890,88897) = ( 88890 × 88897) / 1
LCM(88890,88897) = 7902054330 / 1
LCM(88890,88897) = 7902054330
Least Common Multiple (LCM) of 88890 and 88897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88890 and 88897. First we will calculate the prime factors of 88890 and 88897.
Prime Factorization of 88890
Prime factors of 88890 are 2, 3, 5, 2963. Prime factorization of 88890 in exponential form is:
88890 = 21 × 31 × 51 × 29631
Prime Factorization of 88897
Prime factors of 88897 are 88897. Prime factorization of 88897 in exponential form is:
88897 = 888971
Now multiplying the highest exponent prime factors to calculate the LCM of 88890 and 88897.
LCM(88890,88897) = 21 × 31 × 51 × 29631 × 888971
LCM(88890,88897) = 7902054330
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