What is the Least Common Multiple of 61067 and 61078?
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 61067 and 61078 is 3729850226.
LCM(61067,61078) = 3729850226
Least Common Multiple of 61067 and 61078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61067 and 61078, than apply into the LCM equation.
GCF(61067,61078) = 1
LCM(61067,61078) = ( 61067 × 61078) / 1
LCM(61067,61078) = 3729850226 / 1
LCM(61067,61078) = 3729850226
Least Common Multiple (LCM) of 61067 and 61078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61067 and 61078. First we will calculate the prime factors of 61067 and 61078.
Prime Factorization of 61067
Prime factors of 61067 are 79, 773. Prime factorization of 61067 in exponential form is:
61067 = 791 × 7731
Prime Factorization of 61078
Prime factors of 61078 are 2, 30539. Prime factorization of 61078 in exponential form is:
61078 = 21 × 305391
Now multiplying the highest exponent prime factors to calculate the LCM of 61067 and 61078.
LCM(61067,61078) = 791 × 7731 × 21 × 305391
LCM(61067,61078) = 3729850226
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