What is the Least Common Multiple of 60601 and 60619?
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 60601 and 60619 is 3673572019.
LCM(60601,60619) = 3673572019
Least Common Multiple of 60601 and 60619 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60601 and 60619, than apply into the LCM equation.
GCF(60601,60619) = 1
LCM(60601,60619) = ( 60601 × 60619) / 1
LCM(60601,60619) = 3673572019 / 1
LCM(60601,60619) = 3673572019
Least Common Multiple (LCM) of 60601 and 60619 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60601 and 60619. First we will calculate the prime factors of 60601 and 60619.
Prime Factorization of 60601
Prime factors of 60601 are 60601. Prime factorization of 60601 in exponential form is:
60601 = 606011
Prime Factorization of 60619
Prime factors of 60619 are 13, 4663. Prime factorization of 60619 in exponential form is:
60619 = 131 × 46631
Now multiplying the highest exponent prime factors to calculate the LCM of 60601 and 60619.
LCM(60601,60619) = 606011 × 131 × 46631
LCM(60601,60619) = 3673572019
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