What is the Least Common Multiple of 770 and 790?
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 790 is 60830.
LCM(770,790) = 60830
Least Common Multiple of 770 and 790 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 790, than apply into the LCM equation.
GCF(770,790) = 10
LCM(770,790) = ( 770 × 790) / 10
LCM(770,790) = 608300 / 10
LCM(770,790) = 60830
Least Common Multiple (LCM) of 770 and 790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 790. First we will calculate the prime factors of 770 and 790.
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 790
Prime factors of 790 are 2, 5, 79. Prime factorization of 790 in exponential form is:
790 = 21 × 51 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 790.
LCM(770,790) = 21 × 51 × 71 × 111 × 791
LCM(770,790) = 60830
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