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What is the Least Common Multiple of 64148 and 64156?

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 64156 is 1028869772.

LCM(64148,64156) = 1028869772

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Least Common Multiple of 64148 and 64156 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 64156, than apply into the LCM equation.

GCF(64148,64156) = 4
LCM(64148,64156) = ( 64148 × 64156) / 4
LCM(64148,64156) = 4115479088 / 4
LCM(64148,64156) = 1028869772

Least Common Multiple (LCM) of 64148 and 64156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64148 and 64156. First we will calculate the prime factors of 64148 and 64156.

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 64156

Prime factors of 64156 are 2, 43, 373. Prime factorization of 64156 in exponential form is:

64156 = 22 × 431 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 64148 and 64156.

LCM(64148,64156) = 22 × 71 × 291 × 791 × 431 × 3731
LCM(64148,64156) = 1028869772