What is the Least Common Multiple of 67961 and 67978?
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 67961 and 67978 is 4619852858.
LCM(67961,67978) = 4619852858
Least Common Multiple of 67961 and 67978 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67961 and 67978, than apply into the LCM equation.
GCF(67961,67978) = 1
LCM(67961,67978) = ( 67961 × 67978) / 1
LCM(67961,67978) = 4619852858 / 1
LCM(67961,67978) = 4619852858
Least Common Multiple (LCM) of 67961 and 67978 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67961 and 67978. First we will calculate the prime factors of 67961 and 67978.
Prime Factorization of 67961
Prime factors of 67961 are 67961. Prime factorization of 67961 in exponential form is:
67961 = 679611
Prime Factorization of 67978
Prime factors of 67978 are 2, 41, 829. Prime factorization of 67978 in exponential form is:
67978 = 21 × 411 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 67961 and 67978.
LCM(67961,67978) = 679611 × 21 × 411 × 8291
LCM(67961,67978) = 4619852858
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