What is the Least Common Multiple of 760 and 777?
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 760 and 777 is 590520.
LCM(760,777) = 590520
Least Common Multiple of 760 and 777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 760 and 777, than apply into the LCM equation.
GCF(760,777) = 1
LCM(760,777) = ( 760 × 777) / 1
LCM(760,777) = 590520 / 1
LCM(760,777) = 590520
Least Common Multiple (LCM) of 760 and 777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 760 and 777. First we will calculate the prime factors of 760 and 777.
Prime Factorization of 760
Prime factors of 760 are 2, 5, 19. Prime factorization of 760 in exponential form is:
760 = 23 × 51 × 191
Prime Factorization of 777
Prime factors of 777 are 3, 7, 37. Prime factorization of 777 in exponential form is:
777 = 31 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 760 and 777.
LCM(760,777) = 23 × 51 × 191 × 31 × 71 × 371
LCM(760,777) = 590520
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