What is the Least Common Multiple of 60929 and 60933?
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 60929 and 60933 is 3712586757.
LCM(60929,60933) = 3712586757
Least Common Multiple of 60929 and 60933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60929 and 60933, than apply into the LCM equation.
GCF(60929,60933) = 1
LCM(60929,60933) = ( 60929 × 60933) / 1
LCM(60929,60933) = 3712586757 / 1
LCM(60929,60933) = 3712586757
Least Common Multiple (LCM) of 60929 and 60933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60929 and 60933. First we will calculate the prime factors of 60929 and 60933.
Prime Factorization of 60929
Prime factors of 60929 are 11, 29, 191. Prime factorization of 60929 in exponential form is:
60929 = 111 × 291 × 1911
Prime Factorization of 60933
Prime factors of 60933 are 3, 19, 1069. Prime factorization of 60933 in exponential form is:
60933 = 31 × 191 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 60929 and 60933.
LCM(60929,60933) = 111 × 291 × 1911 × 31 × 191 × 10691
LCM(60929,60933) = 3712586757
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