What is the Least Common Multiple of 88808 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 88808 and 88818 is 3943874472.
LCM(88808,88818) = 3943874472
Least Common Multiple of 88808 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 88808 and 88818, than apply into the LCM equation.
GCF(88808,88818) = 2
LCM(88808,88818) = ( 88808 × 88818) / 2
LCM(88808,88818) = 7887748944 / 2
LCM(88808,88818) = 3943874472
Least Common Multiple (LCM) of 88808 and 88818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88808 and 88818. First we will calculate the prime factors of 88808 and 88818.
Prime Factorization of 88808
Prime factors of 88808 are 2, 17, 653. Prime factorization of 88808 in exponential form is:
88808 = 23 × 171 × 6531
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 88808 and 88818.
LCM(88808,88818) = 23 × 171 × 6531 × 31 × 1131 × 1311
LCM(88808,88818) = 3943874472
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