What is the Least Common Multiple of 78637 and 78655?
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 78637 and 78655 is 6185193235.
LCM(78637,78655) = 6185193235
Least Common Multiple of 78637 and 78655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78637 and 78655, than apply into the LCM equation.
GCF(78637,78655) = 1
LCM(78637,78655) = ( 78637 × 78655) / 1
LCM(78637,78655) = 6185193235 / 1
LCM(78637,78655) = 6185193235
Least Common Multiple (LCM) of 78637 and 78655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78637 and 78655. First we will calculate the prime factors of 78637 and 78655.
Prime Factorization of 78637
Prime factors of 78637 are 13, 23, 263. Prime factorization of 78637 in exponential form is:
78637 = 131 × 231 × 2631
Prime Factorization of 78655
Prime factors of 78655 are 5, 15731. Prime factorization of 78655 in exponential form is:
78655 = 51 × 157311
Now multiplying the highest exponent prime factors to calculate the LCM of 78637 and 78655.
LCM(78637,78655) = 131 × 231 × 2631 × 51 × 157311
LCM(78637,78655) = 6185193235
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