What is the Least Common Multiple of 63620 and 63639?
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 63620 and 63639 is 4048713180.
LCM(63620,63639) = 4048713180
Least Common Multiple of 63620 and 63639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63620 and 63639, than apply into the LCM equation.
GCF(63620,63639) = 1
LCM(63620,63639) = ( 63620 × 63639) / 1
LCM(63620,63639) = 4048713180 / 1
LCM(63620,63639) = 4048713180
Least Common Multiple (LCM) of 63620 and 63639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63620 and 63639. First we will calculate the prime factors of 63620 and 63639.
Prime Factorization of 63620
Prime factors of 63620 are 2, 5, 3181. Prime factorization of 63620 in exponential form is:
63620 = 22 × 51 × 31811
Prime Factorization of 63639
Prime factors of 63639 are 3, 2357. Prime factorization of 63639 in exponential form is:
63639 = 33 × 23571
Now multiplying the highest exponent prime factors to calculate the LCM of 63620 and 63639.
LCM(63620,63639) = 22 × 51 × 31811 × 33 × 23571
LCM(63620,63639) = 4048713180
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