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What is the Least Common Multiple of 97222 and 97235?

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 97222 and 97235 is 9453381170.

LCM(97222,97235) = 9453381170

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Least Common Multiple of 97222 and 97235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97222 and 97235, than apply into the LCM equation.

GCF(97222,97235) = 1
LCM(97222,97235) = ( 97222 × 97235) / 1
LCM(97222,97235) = 9453381170 / 1
LCM(97222,97235) = 9453381170

Least Common Multiple (LCM) of 97222 and 97235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97222 and 97235. First we will calculate the prime factors of 97222 and 97235.

Prime Factorization of 97222

Prime factors of 97222 are 2, 48611. Prime factorization of 97222 in exponential form is:

97222 = 21 × 486111

Prime Factorization of 97235

Prime factors of 97235 are 5, 19447. Prime factorization of 97235 in exponential form is:

97235 = 51 × 194471

Now multiplying the highest exponent prime factors to calculate the LCM of 97222 and 97235.

LCM(97222,97235) = 21 × 486111 × 51 × 194471
LCM(97222,97235) = 9453381170