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What is the Least Common Multiple of 30448 and 30455?

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 30448 and 30455 is 927293840.

LCM(30448,30455) = 927293840

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Least Common Multiple of 30448 and 30455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30448 and 30455, than apply into the LCM equation.

GCF(30448,30455) = 1
LCM(30448,30455) = ( 30448 × 30455) / 1
LCM(30448,30455) = 927293840 / 1
LCM(30448,30455) = 927293840

Least Common Multiple (LCM) of 30448 and 30455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30448 and 30455. First we will calculate the prime factors of 30448 and 30455.

Prime Factorization of 30448

Prime factors of 30448 are 2, 11, 173. Prime factorization of 30448 in exponential form is:

30448 = 24 × 111 × 1731

Prime Factorization of 30455

Prime factors of 30455 are 5, 6091. Prime factorization of 30455 in exponential form is:

30455 = 51 × 60911

Now multiplying the highest exponent prime factors to calculate the LCM of 30448 and 30455.

LCM(30448,30455) = 24 × 111 × 1731 × 51 × 60911
LCM(30448,30455) = 927293840