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What is the Least Common Multiple of 59356 and 59363?

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 59356 and 59363 is 3523550228.

LCM(59356,59363) = 3523550228

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Least Common Multiple of 59356 and 59363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59356 and 59363, than apply into the LCM equation.

GCF(59356,59363) = 1
LCM(59356,59363) = ( 59356 × 59363) / 1
LCM(59356,59363) = 3523550228 / 1
LCM(59356,59363) = 3523550228

Least Common Multiple (LCM) of 59356 and 59363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59356 and 59363. First we will calculate the prime factors of 59356 and 59363.

Prime Factorization of 59356

Prime factors of 59356 are 2, 11, 19, 71. Prime factorization of 59356 in exponential form is:

59356 = 22 × 111 × 191 × 711

Prime Factorization of 59363

Prime factors of 59363 are 23, 29, 89. Prime factorization of 59363 in exponential form is:

59363 = 231 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 59356 and 59363.

LCM(59356,59363) = 22 × 111 × 191 × 711 × 231 × 291 × 891
LCM(59356,59363) = 3523550228