What is the Least Common Multiple of 60783 and 60790?
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 60790 is 3694998570.
LCM(60783,60790) = 3694998570
Least Common Multiple of 60783 and 60790 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 60790, than apply into the LCM equation.
GCF(60783,60790) = 1
LCM(60783,60790) = ( 60783 × 60790) / 1
LCM(60783,60790) = 3694998570 / 1
LCM(60783,60790) = 3694998570
Least Common Multiple (LCM) of 60783 and 60790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60783 and 60790. First we will calculate the prime factors of 60783 and 60790.
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 60790
Prime factors of 60790 are 2, 5, 6079. Prime factorization of 60790 in exponential form is:
60790 = 21 × 51 × 60791
Now multiplying the highest exponent prime factors to calculate the LCM of 60783 and 60790.
LCM(60783,60790) = 31 × 202611 × 21 × 51 × 60791
LCM(60783,60790) = 3694998570
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