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What is the Least Common Multiple of 98947 and 98963?

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 98947 and 98963 is 9792091961.

LCM(98947,98963) = 9792091961

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Least Common Multiple of 98947 and 98963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98947 and 98963, than apply into the LCM equation.

GCF(98947,98963) = 1
LCM(98947,98963) = ( 98947 × 98963) / 1
LCM(98947,98963) = 9792091961 / 1
LCM(98947,98963) = 9792091961

Least Common Multiple (LCM) of 98947 and 98963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98947 and 98963. First we will calculate the prime factors of 98947 and 98963.

Prime Factorization of 98947

Prime factors of 98947 are 98947. Prime factorization of 98947 in exponential form is:

98947 = 989471

Prime Factorization of 98963

Prime factors of 98963 are 98963. Prime factorization of 98963 in exponential form is:

98963 = 989631

Now multiplying the highest exponent prime factors to calculate the LCM of 98947 and 98963.

LCM(98947,98963) = 989471 × 989631
LCM(98947,98963) = 9792091961