What is the Least Common Multiple of 59603 and 59618?
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 59603 and 59618 is 3553411654.
LCM(59603,59618) = 3553411654
Least Common Multiple of 59603 and 59618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59603 and 59618, than apply into the LCM equation.
GCF(59603,59618) = 1
LCM(59603,59618) = ( 59603 × 59618) / 1
LCM(59603,59618) = 3553411654 / 1
LCM(59603,59618) = 3553411654
Least Common Multiple (LCM) of 59603 and 59618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59603 and 59618. First we will calculate the prime factors of 59603 and 59618.
Prime Factorization of 59603
Prime factors of 59603 are 19, 3137. Prime factorization of 59603 in exponential form is:
59603 = 191 × 31371
Prime Factorization of 59618
Prime factors of 59618 are 2, 13, 2293. Prime factorization of 59618 in exponential form is:
59618 = 21 × 131 × 22931
Now multiplying the highest exponent prime factors to calculate the LCM of 59603 and 59618.
LCM(59603,59618) = 191 × 31371 × 21 × 131 × 22931
LCM(59603,59618) = 3553411654
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