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What is the Least Common Multiple of 64020 and 64037?

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 64020 and 64037 is 4099648740.

LCM(64020,64037) = 4099648740

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Least Common Multiple of 64020 and 64037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64020 and 64037, than apply into the LCM equation.

GCF(64020,64037) = 1
LCM(64020,64037) = ( 64020 × 64037) / 1
LCM(64020,64037) = 4099648740 / 1
LCM(64020,64037) = 4099648740

Least Common Multiple (LCM) of 64020 and 64037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64020 and 64037. First we will calculate the prime factors of 64020 and 64037.

Prime Factorization of 64020

Prime factors of 64020 are 2, 3, 5, 11, 97. Prime factorization of 64020 in exponential form is:

64020 = 22 × 31 × 51 × 111 × 971

Prime Factorization of 64037

Prime factors of 64037 are 64037. Prime factorization of 64037 in exponential form is:

64037 = 640371

Now multiplying the highest exponent prime factors to calculate the LCM of 64020 and 64037.

LCM(64020,64037) = 22 × 31 × 51 × 111 × 971 × 640371
LCM(64020,64037) = 4099648740