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What is the Least Common Multiple of 77223 and 77233?

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 77223 and 77233 is 5964163959.

LCM(77223,77233) = 5964163959

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Least Common Multiple of 77223 and 77233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77223 and 77233, than apply into the LCM equation.

GCF(77223,77233) = 1
LCM(77223,77233) = ( 77223 × 77233) / 1
LCM(77223,77233) = 5964163959 / 1
LCM(77223,77233) = 5964163959

Least Common Multiple (LCM) of 77223 and 77233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77223 and 77233. First we will calculate the prime factors of 77223 and 77233.

Prime Factorization of 77223

Prime factors of 77223 are 3, 25741. Prime factorization of 77223 in exponential form is:

77223 = 31 × 257411

Prime Factorization of 77233

Prime factors of 77233 are 13, 457. Prime factorization of 77233 in exponential form is:

77233 = 132 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 77223 and 77233.

LCM(77223,77233) = 31 × 257411 × 132 × 4571
LCM(77223,77233) = 5964163959