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What is the Least Common Multiple of 64462 and 64480?

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 64462 and 64480 is 2078254880.

LCM(64462,64480) = 2078254880

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Least Common Multiple of 64462 and 64480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64462 and 64480, than apply into the LCM equation.

GCF(64462,64480) = 2
LCM(64462,64480) = ( 64462 × 64480) / 2
LCM(64462,64480) = 4156509760 / 2
LCM(64462,64480) = 2078254880

Least Common Multiple (LCM) of 64462 and 64480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64462 and 64480. First we will calculate the prime factors of 64462 and 64480.

Prime Factorization of 64462

Prime factors of 64462 are 2, 167, 193. Prime factorization of 64462 in exponential form is:

64462 = 21 × 1671 × 1931

Prime Factorization of 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 25 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 64462 and 64480.

LCM(64462,64480) = 25 × 1671 × 1931 × 51 × 131 × 311
LCM(64462,64480) = 2078254880