What is the Least Common Multiple of 88802 and 88818?
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 88802 and 88818 is 3943608018.
LCM(88802,88818) = 3943608018
Least Common Multiple of 88802 and 88818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88802 and 88818, than apply into the LCM equation.
GCF(88802,88818) = 2
LCM(88802,88818) = ( 88802 × 88818) / 2
LCM(88802,88818) = 7887216036 / 2
LCM(88802,88818) = 3943608018
Least Common Multiple (LCM) of 88802 and 88818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88802 and 88818. First we will calculate the prime factors of 88802 and 88818.
Prime Factorization of 88802
Prime factors of 88802 are 2, 7, 6343. Prime factorization of 88802 in exponential form is:
88802 = 21 × 71 × 63431
Prime Factorization of 88818
Prime factors of 88818 are 2, 3, 113, 131. Prime factorization of 88818 in exponential form is:
88818 = 21 × 31 × 1131 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 88802 and 88818.
LCM(88802,88818) = 21 × 71 × 63431 × 31 × 1131 × 1311
LCM(88802,88818) = 3943608018
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