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What is the Least Common Multiple of 4388 and 4402?

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 4388 and 4402 is 9657988.

LCM(4388,4402) = 9657988

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Least Common Multiple of 4388 and 4402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4388 and 4402, than apply into the LCM equation.

GCF(4388,4402) = 2
LCM(4388,4402) = ( 4388 × 4402) / 2
LCM(4388,4402) = 19315976 / 2
LCM(4388,4402) = 9657988

Least Common Multiple (LCM) of 4388 and 4402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4388 and 4402. First we will calculate the prime factors of 4388 and 4402.

Prime Factorization of 4388

Prime factors of 4388 are 2, 1097. Prime factorization of 4388 in exponential form is:

4388 = 22 × 10971

Prime Factorization of 4402

Prime factors of 4402 are 2, 31, 71. Prime factorization of 4402 in exponential form is:

4402 = 21 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4402.

LCM(4388,4402) = 22 × 10971 × 311 × 711
LCM(4388,4402) = 9657988