What is the Least Common Multiple of 54788 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 54788 and 54802 is 1501245988.
LCM(54788,54802) = 1501245988
Least Common Multiple of 54788 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 54788 and 54802, than apply into the LCM equation.
GCF(54788,54802) = 2
LCM(54788,54802) = ( 54788 × 54802) / 2
LCM(54788,54802) = 3002491976 / 2
LCM(54788,54802) = 1501245988
Least Common Multiple (LCM) of 54788 and 54802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54788 and 54802. First we will calculate the prime factors of 54788 and 54802.
Prime Factorization of 54788
Prime factors of 54788 are 2, 13697. Prime factorization of 54788 in exponential form is:
54788 = 22 × 136971
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 54788 and 54802.
LCM(54788,54802) = 22 × 136971 × 111 × 471 × 531
LCM(54788,54802) = 1501245988
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