What is the Least Common Multiple of 54812 and 54822?
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 54812 and 54822 is 1502451732.
LCM(54812,54822) = 1502451732
Least Common Multiple of 54812 and 54822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54812 and 54822, than apply into the LCM equation.
GCF(54812,54822) = 2
LCM(54812,54822) = ( 54812 × 54822) / 2
LCM(54812,54822) = 3004903464 / 2
LCM(54812,54822) = 1502451732
Least Common Multiple (LCM) of 54812 and 54822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54812 and 54822. First we will calculate the prime factors of 54812 and 54822.
Prime Factorization of 54812
Prime factors of 54812 are 2, 71, 193. Prime factorization of 54812 in exponential form is:
54812 = 22 × 711 × 1931
Prime Factorization of 54822
Prime factors of 54822 are 2, 3, 9137. Prime factorization of 54822 in exponential form is:
54822 = 21 × 31 × 91371
Now multiplying the highest exponent prime factors to calculate the LCM of 54812 and 54822.
LCM(54812,54822) = 22 × 711 × 1931 × 31 × 91371
LCM(54812,54822) = 1502451732
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