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What is the Least Common Multiple of 93808 and 93820?

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 93808 and 93820 is 2200266640.

LCM(93808,93820) = 2200266640

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Least Common Multiple of 93808 and 93820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93808 and 93820, than apply into the LCM equation.

GCF(93808,93820) = 4
LCM(93808,93820) = ( 93808 × 93820) / 4
LCM(93808,93820) = 8801066560 / 4
LCM(93808,93820) = 2200266640

Least Common Multiple (LCM) of 93808 and 93820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93808 and 93820. First we will calculate the prime factors of 93808 and 93820.

Prime Factorization of 93808

Prime factors of 93808 are 2, 11, 13, 41. Prime factorization of 93808 in exponential form is:

93808 = 24 × 111 × 131 × 411

Prime Factorization of 93820

Prime factors of 93820 are 2, 5, 4691. Prime factorization of 93820 in exponential form is:

93820 = 22 × 51 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 93808 and 93820.

LCM(93808,93820) = 24 × 111 × 131 × 411 × 51 × 46911
LCM(93808,93820) = 2200266640