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What is the Least Common Multiple of 98552 and 98557?

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 98552 and 98557 is 9712989464.

LCM(98552,98557) = 9712989464

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Least Common Multiple of 98552 and 98557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98552 and 98557, than apply into the LCM equation.

GCF(98552,98557) = 1
LCM(98552,98557) = ( 98552 × 98557) / 1
LCM(98552,98557) = 9712989464 / 1
LCM(98552,98557) = 9712989464

Least Common Multiple (LCM) of 98552 and 98557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98552 and 98557. First we will calculate the prime factors of 98552 and 98557.

Prime Factorization of 98552

Prime factors of 98552 are 2, 97, 127. Prime factorization of 98552 in exponential form is:

98552 = 23 × 971 × 1271

Prime Factorization of 98557

Prime factors of 98557 are 67, 1471. Prime factorization of 98557 in exponential form is:

98557 = 671 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 98552 and 98557.

LCM(98552,98557) = 23 × 971 × 1271 × 671 × 14711
LCM(98552,98557) = 9712989464