What is the Least Common Multiple of 61784 and 61795?
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 61784 and 61795 is 3817942280.
LCM(61784,61795) = 3817942280
Least Common Multiple of 61784 and 61795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61784 and 61795, than apply into the LCM equation.
GCF(61784,61795) = 1
LCM(61784,61795) = ( 61784 × 61795) / 1
LCM(61784,61795) = 3817942280 / 1
LCM(61784,61795) = 3817942280
Least Common Multiple (LCM) of 61784 and 61795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61784 and 61795. First we will calculate the prime factors of 61784 and 61795.
Prime Factorization of 61784
Prime factors of 61784 are 2, 7723. Prime factorization of 61784 in exponential form is:
61784 = 23 × 77231
Prime Factorization of 61795
Prime factors of 61795 are 5, 17, 727. Prime factorization of 61795 in exponential form is:
61795 = 51 × 171 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 61784 and 61795.
LCM(61784,61795) = 23 × 77231 × 51 × 171 × 7271
LCM(61784,61795) = 3817942280
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