What is the Least Common Multiple of 67782 and 67801?
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 67782 and 67801 is 4595687382.
LCM(67782,67801) = 4595687382
Least Common Multiple of 67782 and 67801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67782 and 67801, than apply into the LCM equation.
GCF(67782,67801) = 1
LCM(67782,67801) = ( 67782 × 67801) / 1
LCM(67782,67801) = 4595687382 / 1
LCM(67782,67801) = 4595687382
Least Common Multiple (LCM) of 67782 and 67801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67782 and 67801. First we will calculate the prime factors of 67782 and 67801.
Prime Factorization of 67782
Prime factors of 67782 are 2, 3, 11, 13, 79. Prime factorization of 67782 in exponential form is:
67782 = 21 × 31 × 111 × 131 × 791
Prime Factorization of 67801
Prime factors of 67801 are 67801. Prime factorization of 67801 in exponential form is:
67801 = 678011
Now multiplying the highest exponent prime factors to calculate the LCM of 67782 and 67801.
LCM(67782,67801) = 21 × 31 × 111 × 131 × 791 × 678011
LCM(67782,67801) = 4595687382
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