What is the Least Common Multiple of 34915 and 34927?
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 34915 and 34927 is 1219476205.
LCM(34915,34927) = 1219476205
Least Common Multiple of 34915 and 34927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34915 and 34927, than apply into the LCM equation.
GCF(34915,34927) = 1
LCM(34915,34927) = ( 34915 × 34927) / 1
LCM(34915,34927) = 1219476205 / 1
LCM(34915,34927) = 1219476205
Least Common Multiple (LCM) of 34915 and 34927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34915 and 34927. First we will calculate the prime factors of 34915 and 34927.
Prime Factorization of 34915
Prime factors of 34915 are 5, 6983. Prime factorization of 34915 in exponential form is:
34915 = 51 × 69831
Prime Factorization of 34927
Prime factors of 34927 are 53, 659. Prime factorization of 34927 in exponential form is:
34927 = 531 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 34915 and 34927.
LCM(34915,34927) = 51 × 69831 × 531 × 6591
LCM(34915,34927) = 1219476205
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