What is the Least Common Multiple of 63037 and 63057?
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 63037 and 63057 is 3974924109.
LCM(63037,63057) = 3974924109
Least Common Multiple of 63037 and 63057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63037 and 63057, than apply into the LCM equation.
GCF(63037,63057) = 1
LCM(63037,63057) = ( 63037 × 63057) / 1
LCM(63037,63057) = 3974924109 / 1
LCM(63037,63057) = 3974924109
Least Common Multiple (LCM) of 63037 and 63057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63037 and 63057. First we will calculate the prime factors of 63037 and 63057.
Prime Factorization of 63037
Prime factors of 63037 are 13, 373. Prime factorization of 63037 in exponential form is:
63037 = 132 × 3731
Prime Factorization of 63057
Prime factors of 63057 are 3, 21019. Prime factorization of 63057 in exponential form is:
63057 = 31 × 210191
Now multiplying the highest exponent prime factors to calculate the LCM of 63037 and 63057.
LCM(63037,63057) = 132 × 3731 × 31 × 210191
LCM(63037,63057) = 3974924109
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