What is the Least Common Multiple of 54797 and 54802?
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 54797 and 54802 is 3002985194.
LCM(54797,54802) = 3002985194
Least Common Multiple of 54797 and 54802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54797 and 54802, than apply into the LCM equation.
GCF(54797,54802) = 1
LCM(54797,54802) = ( 54797 × 54802) / 1
LCM(54797,54802) = 3002985194 / 1
LCM(54797,54802) = 3002985194
Least Common Multiple (LCM) of 54797 and 54802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54797 and 54802. First we will calculate the prime factors of 54797 and 54802.
Prime Factorization of 54797
Prime factors of 54797 are 37, 1481. Prime factorization of 54797 in exponential form is:
54797 = 371 × 14811
Prime Factorization of 54802
Prime factors of 54802 are 2, 11, 47, 53. Prime factorization of 54802 in exponential form is:
54802 = 21 × 111 × 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 54797 and 54802.
LCM(54797,54802) = 371 × 14811 × 21 × 111 × 471 × 531
LCM(54797,54802) = 3002985194
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