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What is the Least Common Multiple of 98947 and 98967?

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 98967 is 9792487749.

LCM(98947,98967) = 9792487749

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Least Common Multiple of 98947 and 98967 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 98967, than apply into the LCM equation.

GCF(98947,98967) = 1
LCM(98947,98967) = ( 98947 × 98967) / 1
LCM(98947,98967) = 9792487749 / 1
LCM(98947,98967) = 9792487749

Least Common Multiple (LCM) of 98947 and 98967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98947 and 98967. First we will calculate the prime factors of 98947 and 98967.

Prime Factorization of 98947

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

98947 = 989471

Prime Factorization of 98967

Prime factors of 98967 are 3, 11, 2999. Prime factorization of 98967 in exponential form is:

98967 = 31 × 111 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 98947 and 98967.

LCM(98947,98967) = 989471 × 31 × 111 × 29991
LCM(98947,98967) = 9792487749