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What is the Least Common Multiple of 48808 and 48818?

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 48808 and 48818 is 1191354472.

LCM(48808,48818) = 1191354472

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Least Common Multiple of 48808 and 48818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48808 and 48818, than apply into the LCM equation.

GCF(48808,48818) = 2
LCM(48808,48818) = ( 48808 × 48818) / 2
LCM(48808,48818) = 2382708944 / 2
LCM(48808,48818) = 1191354472

Least Common Multiple (LCM) of 48808 and 48818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48808 and 48818. First we will calculate the prime factors of 48808 and 48818.

Prime Factorization of 48808

Prime factors of 48808 are 2, 6101. Prime factorization of 48808 in exponential form is:

48808 = 23 × 61011

Prime Factorization of 48818

Prime factors of 48818 are 2, 7, 11, 317. Prime factorization of 48818 in exponential form is:

48818 = 21 × 71 × 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 48808 and 48818.

LCM(48808,48818) = 23 × 61011 × 71 × 111 × 3171
LCM(48808,48818) = 1191354472