What is the Least Common Multiple of 59615 and 59619?
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 59615 and 59619 is 3554186685.
LCM(59615,59619) = 3554186685
Least Common Multiple of 59615 and 59619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59615 and 59619, than apply into the LCM equation.
GCF(59615,59619) = 1
LCM(59615,59619) = ( 59615 × 59619) / 1
LCM(59615,59619) = 3554186685 / 1
LCM(59615,59619) = 3554186685
Least Common Multiple (LCM) of 59615 and 59619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59615 and 59619. First we will calculate the prime factors of 59615 and 59619.
Prime Factorization of 59615
Prime factors of 59615 are 5, 11923. Prime factorization of 59615 in exponential form is:
59615 = 51 × 119231
Prime Factorization of 59619
Prime factors of 59619 are 3, 7, 17, 167. Prime factorization of 59619 in exponential form is:
59619 = 31 × 71 × 171 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 59615 and 59619.
LCM(59615,59619) = 51 × 119231 × 31 × 71 × 171 × 1671
LCM(59615,59619) = 3554186685
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