What is the Least Common Multiple of 67061 and 67078?
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 67061 and 67078 is 4498317758.
LCM(67061,67078) = 4498317758
Least Common Multiple of 67061 and 67078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67061 and 67078, than apply into the LCM equation.
GCF(67061,67078) = 1
LCM(67061,67078) = ( 67061 × 67078) / 1
LCM(67061,67078) = 4498317758 / 1
LCM(67061,67078) = 4498317758
Least Common Multiple (LCM) of 67061 and 67078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67061 and 67078. First we will calculate the prime factors of 67061 and 67078.
Prime Factorization of 67061
Prime factors of 67061 are 67061. Prime factorization of 67061 in exponential form is:
67061 = 670611
Prime Factorization of 67078
Prime factors of 67078 are 2, 11, 3049. Prime factorization of 67078 in exponential form is:
67078 = 21 × 111 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 67061 and 67078.
LCM(67061,67078) = 670611 × 21 × 111 × 30491
LCM(67061,67078) = 4498317758
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