What is the Least Common Multiple of 60783 and 60793?
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 60783 and 60793 is 3695180919.
LCM(60783,60793) = 3695180919
Least Common Multiple of 60783 and 60793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60783 and 60793, than apply into the LCM equation.
GCF(60783,60793) = 1
LCM(60783,60793) = ( 60783 × 60793) / 1
LCM(60783,60793) = 3695180919 / 1
LCM(60783,60793) = 3695180919
Least Common Multiple (LCM) of 60783 and 60793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60783 and 60793. First we will calculate the prime factors of 60783 and 60793.
Prime Factorization of 60783
Prime factors of 60783 are 3, 20261. Prime factorization of 60783 in exponential form is:
60783 = 31 × 202611
Prime Factorization of 60793
Prime factors of 60793 are 60793. Prime factorization of 60793 in exponential form is:
60793 = 607931
Now multiplying the highest exponent prime factors to calculate the LCM of 60783 and 60793.
LCM(60783,60793) = 31 × 202611 × 607931
LCM(60783,60793) = 3695180919
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