What is the Least Common Multiple of 603 and 621?
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 603 and 621 is 41607.
LCM(603,621) = 41607
Least Common Multiple of 603 and 621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 603 and 621, than apply into the LCM equation.
GCF(603,621) = 9
LCM(603,621) = ( 603 × 621) / 9
LCM(603,621) = 374463 / 9
LCM(603,621) = 41607
Least Common Multiple (LCM) of 603 and 621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 621. First we will calculate the prime factors of 603 and 621.
Prime Factorization of 603
Prime factors of 603 are 3, 67. Prime factorization of 603 in exponential form is:
603 = 32 × 671
Prime Factorization of 621
Prime factors of 621 are 3, 23. Prime factorization of 621 in exponential form is:
621 = 33 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 603 and 621.
LCM(603,621) = 33 × 671 × 231
LCM(603,621) = 41607
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