What is the Least Common Multiple of 54915 and 54925?
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 54915 and 54925 is 603241275.
LCM(54915,54925) = 603241275
Least Common Multiple of 54915 and 54925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54915 and 54925, than apply into the LCM equation.
GCF(54915,54925) = 5
LCM(54915,54925) = ( 54915 × 54925) / 5
LCM(54915,54925) = 3016206375 / 5
LCM(54915,54925) = 603241275
Least Common Multiple (LCM) of 54915 and 54925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54915 and 54925. First we will calculate the prime factors of 54915 and 54925.
Prime Factorization of 54915
Prime factors of 54915 are 3, 5, 7, 523. Prime factorization of 54915 in exponential form is:
54915 = 31 × 51 × 71 × 5231
Prime Factorization of 54925
Prime factors of 54925 are 5, 13. Prime factorization of 54925 in exponential form is:
54925 = 52 × 133
Now multiplying the highest exponent prime factors to calculate the LCM of 54915 and 54925.
LCM(54915,54925) = 31 × 52 × 71 × 5231 × 133
LCM(54915,54925) = 603241275
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