What is the Least Common Multiple of 54896 and 54915?
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 54896 and 54915 is 3014613840.
LCM(54896,54915) = 3014613840
Least Common Multiple of 54896 and 54915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54896 and 54915, than apply into the LCM equation.
GCF(54896,54915) = 1
LCM(54896,54915) = ( 54896 × 54915) / 1
LCM(54896,54915) = 3014613840 / 1
LCM(54896,54915) = 3014613840
Least Common Multiple (LCM) of 54896 and 54915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54896 and 54915. First we will calculate the prime factors of 54896 and 54915.
Prime Factorization of 54896
Prime factors of 54896 are 2, 47, 73. Prime factorization of 54896 in exponential form is:
54896 = 24 × 471 × 731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 54896 and 54915.
LCM(54896,54915) = 24 × 471 × 731 × 31 × 51 × 71 × 5231
LCM(54896,54915) = 3014613840
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