What is the Least Common Multiple of 88649 and 88653?
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 88649 and 88653 is 7858999797.
LCM(88649,88653) = 7858999797
Least Common Multiple of 88649 and 88653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88649 and 88653, than apply into the LCM equation.
GCF(88649,88653) = 1
LCM(88649,88653) = ( 88649 × 88653) / 1
LCM(88649,88653) = 7858999797 / 1
LCM(88649,88653) = 7858999797
Least Common Multiple (LCM) of 88649 and 88653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88649 and 88653. First we will calculate the prime factors of 88649 and 88653.
Prime Factorization of 88649
Prime factors of 88649 are 11, 8059. Prime factorization of 88649 in exponential form is:
88649 = 111 × 80591
Prime Factorization of 88653
Prime factors of 88653 are 3, 29, 1019. Prime factorization of 88653 in exponential form is:
88653 = 31 × 291 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 88649 and 88653.
LCM(88649,88653) = 111 × 80591 × 31 × 291 × 10191
LCM(88649,88653) = 7858999797
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