What is the Least Common Multiple of 59644 and 59659?
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 59644 and 59659 is 3558301396.
LCM(59644,59659) = 3558301396
Least Common Multiple of 59644 and 59659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59644 and 59659, than apply into the LCM equation.
GCF(59644,59659) = 1
LCM(59644,59659) = ( 59644 × 59659) / 1
LCM(59644,59659) = 3558301396 / 1
LCM(59644,59659) = 3558301396
Least Common Multiple (LCM) of 59644 and 59659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59644 and 59659. First we will calculate the prime factors of 59644 and 59659.
Prime Factorization of 59644
Prime factors of 59644 are 2, 13, 31, 37. Prime factorization of 59644 in exponential form is:
59644 = 22 × 131 × 311 × 371
Prime Factorization of 59659
Prime factors of 59659 are 59659. Prime factorization of 59659 in exponential form is:
59659 = 596591
Now multiplying the highest exponent prime factors to calculate the LCM of 59644 and 59659.
LCM(59644,59659) = 22 × 131 × 311 × 371 × 596591
LCM(59644,59659) = 3558301396
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