What is the Least Common Multiple of 60483 and 60503?
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 60483 and 60503 is 3659402949.
LCM(60483,60503) = 3659402949
Least Common Multiple of 60483 and 60503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60483 and 60503, than apply into the LCM equation.
GCF(60483,60503) = 1
LCM(60483,60503) = ( 60483 × 60503) / 1
LCM(60483,60503) = 3659402949 / 1
LCM(60483,60503) = 3659402949
Least Common Multiple (LCM) of 60483 and 60503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60483 and 60503. First we will calculate the prime factors of 60483 and 60503.
Prime Factorization of 60483
Prime factors of 60483 are 3, 20161. Prime factorization of 60483 in exponential form is:
60483 = 31 × 201611
Prime Factorization of 60503
Prime factors of 60503 are 17, 3559. Prime factorization of 60503 in exponential form is:
60503 = 171 × 35591
Now multiplying the highest exponent prime factors to calculate the LCM of 60483 and 60503.
LCM(60483,60503) = 31 × 201611 × 171 × 35591
LCM(60483,60503) = 3659402949
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