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What is the Least Common Multiple of 64242 and 64262?

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 64242 and 64262 is 2064159702.

LCM(64242,64262) = 2064159702

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Least Common Multiple of 64242 and 64262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64242 and 64262, than apply into the LCM equation.

GCF(64242,64262) = 2
LCM(64242,64262) = ( 64242 × 64262) / 2
LCM(64242,64262) = 4128319404 / 2
LCM(64242,64262) = 2064159702

Least Common Multiple (LCM) of 64242 and 64262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64242 and 64262. First we will calculate the prime factors of 64242 and 64262.

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

Prime Factorization of 64262

Prime factors of 64262 are 2, 11, 23, 127. Prime factorization of 64262 in exponential form is:

64262 = 21 × 111 × 231 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 64242 and 64262.

LCM(64242,64262) = 21 × 32 × 431 × 831 × 111 × 231 × 1271
LCM(64242,64262) = 2064159702