What is the Least Common Multiple of 60603 and 60620?
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 60603 and 60620 is 3673753860.
LCM(60603,60620) = 3673753860
Least Common Multiple of 60603 and 60620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60603 and 60620, than apply into the LCM equation.
GCF(60603,60620) = 1
LCM(60603,60620) = ( 60603 × 60620) / 1
LCM(60603,60620) = 3673753860 / 1
LCM(60603,60620) = 3673753860
Least Common Multiple (LCM) of 60603 and 60620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60603 and 60620. First we will calculate the prime factors of 60603 and 60620.
Prime Factorization of 60603
Prime factors of 60603 are 3, 20201. Prime factorization of 60603 in exponential form is:
60603 = 31 × 202011
Prime Factorization of 60620
Prime factors of 60620 are 2, 5, 7, 433. Prime factorization of 60620 in exponential form is:
60620 = 22 × 51 × 71 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 60603 and 60620.
LCM(60603,60620) = 31 × 202011 × 22 × 51 × 71 × 4331
LCM(60603,60620) = 3673753860
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