What is the Least Common Multiple of 60472 and 60483?
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 60472 and 60483 is 3657527976.
LCM(60472,60483) = 3657527976
Least Common Multiple of 60472 and 60483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60472 and 60483, than apply into the LCM equation.
GCF(60472,60483) = 1
LCM(60472,60483) = ( 60472 × 60483) / 1
LCM(60472,60483) = 3657527976 / 1
LCM(60472,60483) = 3657527976
Least Common Multiple (LCM) of 60472 and 60483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60472 and 60483. First we will calculate the prime factors of 60472 and 60483.
Prime Factorization of 60472
Prime factors of 60472 are 2, 7559. Prime factorization of 60472 in exponential form is:
60472 = 23 × 75591
Prime Factorization of 60483
Prime factors of 60483 are 3, 20161. Prime factorization of 60483 in exponential form is:
60483 = 31 × 201611
Now multiplying the highest exponent prime factors to calculate the LCM of 60472 and 60483.
LCM(60472,60483) = 23 × 75591 × 31 × 201611
LCM(60472,60483) = 3657527976
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