What is the Least Common Multiple of 61799 and 61816?
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 61799 and 61816 is 3820166984.
LCM(61799,61816) = 3820166984
Least Common Multiple of 61799 and 61816 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61799 and 61816, than apply into the LCM equation.
GCF(61799,61816) = 1
LCM(61799,61816) = ( 61799 × 61816) / 1
LCM(61799,61816) = 3820166984 / 1
LCM(61799,61816) = 3820166984
Least Common Multiple (LCM) of 61799 and 61816 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61799 and 61816. First we will calculate the prime factors of 61799 and 61816.
Prime Factorization of 61799
Prime factors of 61799 are 29, 2131. Prime factorization of 61799 in exponential form is:
61799 = 291 × 21311
Prime Factorization of 61816
Prime factors of 61816 are 2, 7727. Prime factorization of 61816 in exponential form is:
61816 = 23 × 77271
Now multiplying the highest exponent prime factors to calculate the LCM of 61799 and 61816.
LCM(61799,61816) = 291 × 21311 × 23 × 77271
LCM(61799,61816) = 3820166984
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