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What is the Least Common Multiple of 4064 and 4070?

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 4064 and 4070 is 8270240.

LCM(4064,4070) = 8270240

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Least Common Multiple of 4064 and 4070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4064 and 4070, than apply into the LCM equation.

GCF(4064,4070) = 2
LCM(4064,4070) = ( 4064 × 4070) / 2
LCM(4064,4070) = 16540480 / 2
LCM(4064,4070) = 8270240

Least Common Multiple (LCM) of 4064 and 4070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4064 and 4070. First we will calculate the prime factors of 4064 and 4070.

Prime Factorization of 4064

Prime factors of 4064 are 2, 127. Prime factorization of 4064 in exponential form is:

4064 = 25 × 1271

Prime Factorization of 4070

Prime factors of 4070 are 2, 5, 11, 37. Prime factorization of 4070 in exponential form is:

4070 = 21 × 51 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4064 and 4070.

LCM(4064,4070) = 25 × 1271 × 51 × 111 × 371
LCM(4064,4070) = 8270240