What is the Least Common Multiple of 54718 and 54730?
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 54718 and 54730 is 1497358070.
LCM(54718,54730) = 1497358070
Least Common Multiple of 54718 and 54730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54718 and 54730, than apply into the LCM equation.
GCF(54718,54730) = 2
LCM(54718,54730) = ( 54718 × 54730) / 2
LCM(54718,54730) = 2994716140 / 2
LCM(54718,54730) = 1497358070
Least Common Multiple (LCM) of 54718 and 54730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54718 and 54730. First we will calculate the prime factors of 54718 and 54730.
Prime Factorization of 54718
Prime factors of 54718 are 2, 109, 251. Prime factorization of 54718 in exponential form is:
54718 = 21 × 1091 × 2511
Prime Factorization of 54730
Prime factors of 54730 are 2, 5, 13, 421. Prime factorization of 54730 in exponential form is:
54730 = 21 × 51 × 131 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 54718 and 54730.
LCM(54718,54730) = 21 × 1091 × 2511 × 51 × 131 × 4211
LCM(54718,54730) = 1497358070
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