What is the Least Common Multiple of 78632 and 78651?
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 78632 and 78651 is 6184485432.
LCM(78632,78651) = 6184485432
Least Common Multiple of 78632 and 78651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78632 and 78651, than apply into the LCM equation.
GCF(78632,78651) = 1
LCM(78632,78651) = ( 78632 × 78651) / 1
LCM(78632,78651) = 6184485432 / 1
LCM(78632,78651) = 6184485432
Least Common Multiple (LCM) of 78632 and 78651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78632 and 78651. First we will calculate the prime factors of 78632 and 78651.
Prime Factorization of 78632
Prime factors of 78632 are 2, 9829. Prime factorization of 78632 in exponential form is:
78632 = 23 × 98291
Prime Factorization of 78651
Prime factors of 78651 are 3, 971. Prime factorization of 78651 in exponential form is:
78651 = 34 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 78632 and 78651.
LCM(78632,78651) = 23 × 98291 × 34 × 9711
LCM(78632,78651) = 6184485432
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