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What is the Least Common Multiple of 99522 and 99540?

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 99522 and 99540 is 550356660.

LCM(99522,99540) = 550356660

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Least Common Multiple of 99522 and 99540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99522 and 99540, than apply into the LCM equation.

GCF(99522,99540) = 18
LCM(99522,99540) = ( 99522 × 99540) / 18
LCM(99522,99540) = 9906419880 / 18
LCM(99522,99540) = 550356660

Least Common Multiple (LCM) of 99522 and 99540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99522 and 99540. First we will calculate the prime factors of 99522 and 99540.

Prime Factorization of 99522

Prime factors of 99522 are 2, 3, 19, 97. Prime factorization of 99522 in exponential form is:

99522 = 21 × 33 × 191 × 971

Prime Factorization of 99540

Prime factors of 99540 are 2, 3, 5, 7, 79. Prime factorization of 99540 in exponential form is:

99540 = 22 × 32 × 51 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 99522 and 99540.

LCM(99522,99540) = 22 × 33 × 191 × 971 × 51 × 71 × 791
LCM(99522,99540) = 550356660