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What is the Least Common Multiple of 54442 and 54450?

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 54442 and 54450 is 1482183450.

LCM(54442,54450) = 1482183450

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Least Common Multiple of 54442 and 54450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54442 and 54450, than apply into the LCM equation.

GCF(54442,54450) = 2
LCM(54442,54450) = ( 54442 × 54450) / 2
LCM(54442,54450) = 2964366900 / 2
LCM(54442,54450) = 1482183450

Least Common Multiple (LCM) of 54442 and 54450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54442 and 54450. First we will calculate the prime factors of 54442 and 54450.

Prime Factorization of 54442

Prime factors of 54442 are 2, 163, 167. Prime factorization of 54442 in exponential form is:

54442 = 21 × 1631 × 1671

Prime Factorization of 54450

Prime factors of 54450 are 2, 3, 5, 11. Prime factorization of 54450 in exponential form is:

54450 = 21 × 32 × 52 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 54442 and 54450.

LCM(54442,54450) = 21 × 1631 × 1671 × 32 × 52 × 112
LCM(54442,54450) = 1482183450