What is the Least Common Multiple of 60003 and 60014?
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 60003 and 60014 is 3601020042.
LCM(60003,60014) = 3601020042
Least Common Multiple of 60003 and 60014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60003 and 60014, than apply into the LCM equation.
GCF(60003,60014) = 1
LCM(60003,60014) = ( 60003 × 60014) / 1
LCM(60003,60014) = 3601020042 / 1
LCM(60003,60014) = 3601020042
Least Common Multiple (LCM) of 60003 and 60014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60003 and 60014. First we will calculate the prime factors of 60003 and 60014.
Prime Factorization of 60003
Prime factors of 60003 are 3, 59, 113. Prime factorization of 60003 in exponential form is:
60003 = 32 × 591 × 1131
Prime Factorization of 60014
Prime factors of 60014 are 2, 37, 811. Prime factorization of 60014 in exponential form is:
60014 = 21 × 371 × 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 60003 and 60014.
LCM(60003,60014) = 32 × 591 × 1131 × 21 × 371 × 8111
LCM(60003,60014) = 3601020042
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