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What is the Least Common Multiple of 64148 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 64148 and 64160 is 1028933920.

LCM(64148,64160) = 1028933920

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Least Common Multiple of 64148 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 64148 and 64160, than apply into the LCM equation.

GCF(64148,64160) = 4
LCM(64148,64160) = ( 64148 × 64160) / 4
LCM(64148,64160) = 4115735680 / 4
LCM(64148,64160) = 1028933920

Least Common Multiple (LCM) of 64148 and 64160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64148 and 64160. First we will calculate the prime factors of 64148 and 64160.

Prime Factorization of 64148

Prime factors of 64148 are 2, 7, 29, 79. Prime factorization of 64148 in exponential form is:

64148 = 22 × 71 × 291 × 791

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 64148 and 64160.

LCM(64148,64160) = 25 × 71 × 291 × 791 × 51 × 4011
LCM(64148,64160) = 1028933920