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What is the Least Common Multiple of 64402 and 64420?

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 64402 and 64420 is 2074388420.

LCM(64402,64420) = 2074388420

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Least Common Multiple of 64402 and 64420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64402 and 64420, than apply into the LCM equation.

GCF(64402,64420) = 2
LCM(64402,64420) = ( 64402 × 64420) / 2
LCM(64402,64420) = 4148776840 / 2
LCM(64402,64420) = 2074388420

Least Common Multiple (LCM) of 64402 and 64420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64402 and 64420. First we will calculate the prime factors of 64402 and 64420.

Prime Factorization of 64402

Prime factors of 64402 are 2, 13, 2477. Prime factorization of 64402 in exponential form is:

64402 = 21 × 131 × 24771

Prime Factorization of 64420

Prime factors of 64420 are 2, 5, 3221. Prime factorization of 64420 in exponential form is:

64420 = 22 × 51 × 32211

Now multiplying the highest exponent prime factors to calculate the LCM of 64402 and 64420.

LCM(64402,64420) = 22 × 131 × 24771 × 51 × 32211
LCM(64402,64420) = 2074388420