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What is the Least Common Multiple of 93596 and 93603?

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 93596 and 93603 is 8760866388.

LCM(93596,93603) = 8760866388

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Least Common Multiple of 93596 and 93603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93596 and 93603, than apply into the LCM equation.

GCF(93596,93603) = 1
LCM(93596,93603) = ( 93596 × 93603) / 1
LCM(93596,93603) = 8760866388 / 1
LCM(93596,93603) = 8760866388

Least Common Multiple (LCM) of 93596 and 93603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93596 and 93603. First we will calculate the prime factors of 93596 and 93603.

Prime Factorization of 93596

Prime factors of 93596 are 2, 23399. Prime factorization of 93596 in exponential form is:

93596 = 22 × 233991

Prime Factorization of 93603

Prime factors of 93603 are 3, 41, 761. Prime factorization of 93603 in exponential form is:

93603 = 31 × 411 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 93596 and 93603.

LCM(93596,93603) = 22 × 233991 × 31 × 411 × 7611
LCM(93596,93603) = 8760866388