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What is the Least Common Multiple of 4354 and 4362?

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 4354 and 4362 is 9496074.

LCM(4354,4362) = 9496074

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Least Common Multiple of 4354 and 4362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4354 and 4362, than apply into the LCM equation.

GCF(4354,4362) = 2
LCM(4354,4362) = ( 4354 × 4362) / 2
LCM(4354,4362) = 18992148 / 2
LCM(4354,4362) = 9496074

Least Common Multiple (LCM) of 4354 and 4362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4354 and 4362. First we will calculate the prime factors of 4354 and 4362.

Prime Factorization of 4354

Prime factors of 4354 are 2, 7, 311. Prime factorization of 4354 in exponential form is:

4354 = 21 × 71 × 3111

Prime Factorization of 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 21 × 31 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 4354 and 4362.

LCM(4354,4362) = 21 × 71 × 3111 × 31 × 7271
LCM(4354,4362) = 9496074