What is the Least Common Multiple of 60611 and 60621?
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 60611 and 60621 is 3674299431.
LCM(60611,60621) = 3674299431
Least Common Multiple of 60611 and 60621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60611 and 60621, than apply into the LCM equation.
GCF(60611,60621) = 1
LCM(60611,60621) = ( 60611 × 60621) / 1
LCM(60611,60621) = 3674299431 / 1
LCM(60611,60621) = 3674299431
Least Common Multiple (LCM) of 60611 and 60621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60611 and 60621. First we will calculate the prime factors of 60611 and 60621.
Prime Factorization of 60611
Prime factors of 60611 are 60611. Prime factorization of 60611 in exponential form is:
60611 = 606111
Prime Factorization of 60621
Prime factors of 60621 are 3, 11, 167. Prime factorization of 60621 in exponential form is:
60621 = 31 × 112 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 60611 and 60621.
LCM(60611,60621) = 606111 × 31 × 112 × 1671
LCM(60611,60621) = 3674299431
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