What is the Least Common Multiple of 61799 and 61818?
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 61818 is 3820290582.
LCM(61799,61818) = 3820290582
Least Common Multiple of 61799 and 61818 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 61818, than apply into the LCM equation.
GCF(61799,61818) = 1
LCM(61799,61818) = ( 61799 × 61818) / 1
LCM(61799,61818) = 3820290582 / 1
LCM(61799,61818) = 3820290582
Least Common Multiple (LCM) of 61799 and 61818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61799 and 61818. First we will calculate the prime factors of 61799 and 61818.
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 61818
Prime factors of 61818 are 2, 3, 10303. Prime factorization of 61818 in exponential form is:
61818 = 21 × 31 × 103031
Now multiplying the highest exponent prime factors to calculate the LCM of 61799 and 61818.
LCM(61799,61818) = 291 × 21311 × 21 × 31 × 103031
LCM(61799,61818) = 3820290582
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