What is the Least Common Multiple of 67790 and 67797?
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 67790 and 67797 is 4595958630.
LCM(67790,67797) = 4595958630
Least Common Multiple of 67790 and 67797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67790 and 67797, than apply into the LCM equation.
GCF(67790,67797) = 1
LCM(67790,67797) = ( 67790 × 67797) / 1
LCM(67790,67797) = 4595958630 / 1
LCM(67790,67797) = 4595958630
Least Common Multiple (LCM) of 67790 and 67797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67790 and 67797. First we will calculate the prime factors of 67790 and 67797.
Prime Factorization of 67790
Prime factors of 67790 are 2, 5, 6779. Prime factorization of 67790 in exponential form is:
67790 = 21 × 51 × 67791
Prime Factorization of 67797
Prime factors of 67797 are 3, 31. Prime factorization of 67797 in exponential form is:
67797 = 37 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 67790 and 67797.
LCM(67790,67797) = 21 × 51 × 67791 × 37 × 311
LCM(67790,67797) = 4595958630
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