What is the Least Common Multiple of 54832 and 54846?
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 54832 and 54846 is 1503657936.
LCM(54832,54846) = 1503657936
Least Common Multiple of 54832 and 54846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54832 and 54846, than apply into the LCM equation.
GCF(54832,54846) = 2
LCM(54832,54846) = ( 54832 × 54846) / 2
LCM(54832,54846) = 3007315872 / 2
LCM(54832,54846) = 1503657936
Least Common Multiple (LCM) of 54832 and 54846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54832 and 54846. First we will calculate the prime factors of 54832 and 54846.
Prime Factorization of 54832
Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:
54832 = 24 × 231 × 1491
Prime Factorization of 54846
Prime factors of 54846 are 2, 3, 11, 277. Prime factorization of 54846 in exponential form is:
54846 = 21 × 32 × 111 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 54832 and 54846.
LCM(54832,54846) = 24 × 231 × 1491 × 32 × 111 × 2771
LCM(54832,54846) = 1503657936
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