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What is the Least Common Multiple of 64338 and 64355?

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 64338 and 64355 is 4140471990.

LCM(64338,64355) = 4140471990

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Least Common Multiple of 64338 and 64355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64338 and 64355, than apply into the LCM equation.

GCF(64338,64355) = 1
LCM(64338,64355) = ( 64338 × 64355) / 1
LCM(64338,64355) = 4140471990 / 1
LCM(64338,64355) = 4140471990

Least Common Multiple (LCM) of 64338 and 64355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64338 and 64355. First we will calculate the prime factors of 64338 and 64355.

Prime Factorization of 64338

Prime factors of 64338 are 2, 3, 10723. Prime factorization of 64338 in exponential form is:

64338 = 21 × 31 × 107231

Prime Factorization of 64355

Prime factors of 64355 are 5, 61, 211. Prime factorization of 64355 in exponential form is:

64355 = 51 × 611 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 64338 and 64355.

LCM(64338,64355) = 21 × 31 × 107231 × 51 × 611 × 2111
LCM(64338,64355) = 4140471990