What is the Least Common Multiple of 770 and 776?
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 770 and 776 is 298760.
LCM(770,776) = 298760
Least Common Multiple of 770 and 776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 770 and 776, than apply into the LCM equation.
GCF(770,776) = 2
LCM(770,776) = ( 770 × 776) / 2
LCM(770,776) = 597520 / 2
LCM(770,776) = 298760
Least Common Multiple (LCM) of 770 and 776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 776. First we will calculate the prime factors of 770 and 776.
Prime Factorization of 770
Prime factors of 770 are 2, 5, 7, 11. Prime factorization of 770 in exponential form is:
770 = 21 × 51 × 71 × 111
Prime Factorization of 776
Prime factors of 776 are 2, 97. Prime factorization of 776 in exponential form is:
776 = 23 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 776.
LCM(770,776) = 23 × 51 × 71 × 111 × 971
LCM(770,776) = 298760
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