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What is the Least Common Multiple of 64225 and 64242?

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 64225 and 64242 is 4125942450.

LCM(64225,64242) = 4125942450

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Least Common Multiple of 64225 and 64242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64225 and 64242, than apply into the LCM equation.

GCF(64225,64242) = 1
LCM(64225,64242) = ( 64225 × 64242) / 1
LCM(64225,64242) = 4125942450 / 1
LCM(64225,64242) = 4125942450

Least Common Multiple (LCM) of 64225 and 64242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64225 and 64242. First we will calculate the prime factors of 64225 and 64242.

Prime Factorization of 64225

Prime factors of 64225 are 5, 7, 367. Prime factorization of 64225 in exponential form is:

64225 = 52 × 71 × 3671

Prime Factorization of 64242

Prime factors of 64242 are 2, 3, 43, 83. Prime factorization of 64242 in exponential form is:

64242 = 21 × 32 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 64225 and 64242.

LCM(64225,64242) = 52 × 71 × 3671 × 21 × 32 × 431 × 831
LCM(64225,64242) = 4125942450