What is the Least Common Multiple of 60440 and 60447?
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 60440 and 60447 is 3653416680.
LCM(60440,60447) = 3653416680
Least Common Multiple of 60440 and 60447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60440 and 60447, than apply into the LCM equation.
GCF(60440,60447) = 1
LCM(60440,60447) = ( 60440 × 60447) / 1
LCM(60440,60447) = 3653416680 / 1
LCM(60440,60447) = 3653416680
Least Common Multiple (LCM) of 60440 and 60447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60440 and 60447. First we will calculate the prime factors of 60440 and 60447.
Prime Factorization of 60440
Prime factors of 60440 are 2, 5, 1511. Prime factorization of 60440 in exponential form is:
60440 = 23 × 51 × 15111
Prime Factorization of 60447
Prime factors of 60447 are 3, 20149. Prime factorization of 60447 in exponential form is:
60447 = 31 × 201491
Now multiplying the highest exponent prime factors to calculate the LCM of 60440 and 60447.
LCM(60440,60447) = 23 × 51 × 15111 × 31 × 201491
LCM(60440,60447) = 3653416680
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