What is the Least Common Multiple of 62981 and 63001?
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 62981 and 63001 is 3967865981.
LCM(62981,63001) = 3967865981
Least Common Multiple of 62981 and 63001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62981 and 63001, than apply into the LCM equation.
GCF(62981,63001) = 1
LCM(62981,63001) = ( 62981 × 63001) / 1
LCM(62981,63001) = 3967865981 / 1
LCM(62981,63001) = 3967865981
Least Common Multiple (LCM) of 62981 and 63001 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62981 and 63001. First we will calculate the prime factors of 62981 and 63001.
Prime Factorization of 62981
Prime factors of 62981 are 62981. Prime factorization of 62981 in exponential form is:
62981 = 629811
Prime Factorization of 63001
Prime factors of 63001 are 251. Prime factorization of 63001 in exponential form is:
63001 = 2512
Now multiplying the highest exponent prime factors to calculate the LCM of 62981 and 63001.
LCM(62981,63001) = 629811 × 2512
LCM(62981,63001) = 3967865981
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