What is the Least Common Multiple of 60538 and 60553?
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 60538 and 60553 is 3665757514.
LCM(60538,60553) = 3665757514
Least Common Multiple of 60538 and 60553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60538 and 60553, than apply into the LCM equation.
GCF(60538,60553) = 1
LCM(60538,60553) = ( 60538 × 60553) / 1
LCM(60538,60553) = 3665757514 / 1
LCM(60538,60553) = 3665757514
Least Common Multiple (LCM) of 60538 and 60553 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60538 and 60553. First we will calculate the prime factors of 60538 and 60553.
Prime Factorization of 60538
Prime factors of 60538 are 2, 30269. Prime factorization of 60538 in exponential form is:
60538 = 21 × 302691
Prime Factorization of 60553
Prime factors of 60553 are 19, 3187. Prime factorization of 60553 in exponential form is:
60553 = 191 × 31871
Now multiplying the highest exponent prime factors to calculate the LCM of 60538 and 60553.
LCM(60538,60553) = 21 × 302691 × 191 × 31871
LCM(60538,60553) = 3665757514
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