What is the Least Common Multiple of 63020 and 63031?
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 63020 and 63031 is 3972213620.
LCM(63020,63031) = 3972213620
Least Common Multiple of 63020 and 63031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63020 and 63031, than apply into the LCM equation.
GCF(63020,63031) = 1
LCM(63020,63031) = ( 63020 × 63031) / 1
LCM(63020,63031) = 3972213620 / 1
LCM(63020,63031) = 3972213620
Least Common Multiple (LCM) of 63020 and 63031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63020 and 63031. First we will calculate the prime factors of 63020 and 63031.
Prime Factorization of 63020
Prime factors of 63020 are 2, 5, 23, 137. Prime factorization of 63020 in exponential form is:
63020 = 22 × 51 × 231 × 1371
Prime Factorization of 63031
Prime factors of 63031 are 63031. Prime factorization of 63031 in exponential form is:
63031 = 630311
Now multiplying the highest exponent prime factors to calculate the LCM of 63020 and 63031.
LCM(63020,63031) = 22 × 51 × 231 × 1371 × 630311
LCM(63020,63031) = 3972213620
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