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What is the Least Common Multiple of 64262 and 64278?

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 64262 and 64278 is 2065316418.

LCM(64262,64278) = 2065316418

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Least Common Multiple of 64262 and 64278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64262 and 64278, than apply into the LCM equation.

GCF(64262,64278) = 2
LCM(64262,64278) = ( 64262 × 64278) / 2
LCM(64262,64278) = 4130632836 / 2
LCM(64262,64278) = 2065316418

Least Common Multiple (LCM) of 64262 and 64278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64262 and 64278. First we will calculate the prime factors of 64262 and 64278.

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

Prime Factorization of 64278

Prime factors of 64278 are 2, 3, 3571. Prime factorization of 64278 in exponential form is:

64278 = 21 × 32 × 35711

Now multiplying the highest exponent prime factors to calculate the LCM of 64262 and 64278.

LCM(64262,64278) = 21 × 111 × 231 × 1271 × 32 × 35711
LCM(64262,64278) = 2065316418