What is the Least Common Multiple of 93618 and 93624?
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 93618 and 93624 is 1460815272.
LCM(93618,93624) = 1460815272
Least Common Multiple of 93618 and 93624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93618 and 93624, than apply into the LCM equation.
GCF(93618,93624) = 6
LCM(93618,93624) = ( 93618 × 93624) / 6
LCM(93618,93624) = 8764891632 / 6
LCM(93618,93624) = 1460815272
Least Common Multiple (LCM) of 93618 and 93624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93618 and 93624. First we will calculate the prime factors of 93618 and 93624.
Prime Factorization of 93618
Prime factors of 93618 are 2, 3, 7, 743. Prime factorization of 93618 in exponential form is:
93618 = 21 × 32 × 71 × 7431
Prime Factorization of 93624
Prime factors of 93624 are 2, 3, 47, 83. Prime factorization of 93624 in exponential form is:
93624 = 23 × 31 × 471 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 93618 and 93624.
LCM(93618,93624) = 23 × 32 × 71 × 7431 × 471 × 831
LCM(93618,93624) = 1460815272
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