What is the Least Common Multiple of 88649 and 88668?
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 88668 is 7860329532.
LCM(88649,88668) = 7860329532
Least Common Multiple of 88649 and 88668 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 88668, than apply into the LCM equation.
GCF(88649,88668) = 1
LCM(88649,88668) = ( 88649 × 88668) / 1
LCM(88649,88668) = 7860329532 / 1
LCM(88649,88668) = 7860329532
Least Common Multiple (LCM) of 88649 and 88668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88649 and 88668. First we will calculate the prime factors of 88649 and 88668.
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 88668
Prime factors of 88668 are 2, 3, 821. Prime factorization of 88668 in exponential form is:
88668 = 22 × 33 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 88649 and 88668.
LCM(88649,88668) = 111 × 80591 × 22 × 33 × 8211
LCM(88649,88668) = 7860329532
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