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What is the Least Common Multiple of 64155 and 64160?

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 64155 and 64160 is 823236960.

LCM(64155,64160) = 823236960

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Least Common Multiple of 64155 and 64160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64155 and 64160, than apply into the LCM equation.

GCF(64155,64160) = 5
LCM(64155,64160) = ( 64155 × 64160) / 5
LCM(64155,64160) = 4116184800 / 5
LCM(64155,64160) = 823236960

Least Common Multiple (LCM) of 64155 and 64160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64155 and 64160. First we will calculate the prime factors of 64155 and 64160.

Prime Factorization of 64155

Prime factors of 64155 are 3, 5, 7, 13, 47. Prime factorization of 64155 in exponential form is:

64155 = 31 × 51 × 71 × 131 × 471

Prime Factorization of 64160

Prime factors of 64160 are 2, 5, 401. Prime factorization of 64160 in exponential form is:

64160 = 25 × 51 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 64155 and 64160.

LCM(64155,64160) = 31 × 51 × 71 × 131 × 471 × 25 × 4011
LCM(64155,64160) = 823236960