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What is the Least Common Multiple of 54420 and 54434?

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 54420 and 54434 is 1481149140.

LCM(54420,54434) = 1481149140

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Least Common Multiple of 54420 and 54434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54420 and 54434, than apply into the LCM equation.

GCF(54420,54434) = 2
LCM(54420,54434) = ( 54420 × 54434) / 2
LCM(54420,54434) = 2962298280 / 2
LCM(54420,54434) = 1481149140

Least Common Multiple (LCM) of 54420 and 54434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54420 and 54434. First we will calculate the prime factors of 54420 and 54434.

Prime Factorization of 54420

Prime factors of 54420 are 2, 3, 5, 907. Prime factorization of 54420 in exponential form is:

54420 = 22 × 31 × 51 × 9071

Prime Factorization of 54434

Prime factors of 54434 are 2, 17, 1601. Prime factorization of 54434 in exponential form is:

54434 = 21 × 171 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 54420 and 54434.

LCM(54420,54434) = 22 × 31 × 51 × 9071 × 171 × 16011
LCM(54420,54434) = 1481149140