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What is the Least Common Multiple of 93208 and 93220?

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 93208 and 93220 is 2172212440.

LCM(93208,93220) = 2172212440

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Least Common Multiple of 93208 and 93220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93208 and 93220, than apply into the LCM equation.

GCF(93208,93220) = 4
LCM(93208,93220) = ( 93208 × 93220) / 4
LCM(93208,93220) = 8688849760 / 4
LCM(93208,93220) = 2172212440

Least Common Multiple (LCM) of 93208 and 93220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93208 and 93220. First we will calculate the prime factors of 93208 and 93220.

Prime Factorization of 93208

Prime factors of 93208 are 2, 61, 191. Prime factorization of 93208 in exponential form is:

93208 = 23 × 611 × 1911

Prime Factorization of 93220

Prime factors of 93220 are 2, 5, 59, 79. Prime factorization of 93220 in exponential form is:

93220 = 22 × 51 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 93208 and 93220.

LCM(93208,93220) = 23 × 611 × 1911 × 51 × 591 × 791
LCM(93208,93220) = 2172212440