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What is the Least Common Multiple of 65448 and 65455?

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 65448 and 65455 is 4283898840.

LCM(65448,65455) = 4283898840

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Least Common Multiple of 65448 and 65455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65448 and 65455, than apply into the LCM equation.

GCF(65448,65455) = 1
LCM(65448,65455) = ( 65448 × 65455) / 1
LCM(65448,65455) = 4283898840 / 1
LCM(65448,65455) = 4283898840

Least Common Multiple (LCM) of 65448 and 65455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65448 and 65455. First we will calculate the prime factors of 65448 and 65455.

Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 23 × 34 × 1011

Prime Factorization of 65455

Prime factors of 65455 are 5, 13, 19, 53. Prime factorization of 65455 in exponential form is:

65455 = 51 × 131 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 65448 and 65455.

LCM(65448,65455) = 23 × 34 × 1011 × 51 × 131 × 191 × 531
LCM(65448,65455) = 4283898840