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What is the Least Common Multiple of 48985 and 48991?

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 48985 and 48991 is 2399824135.

LCM(48985,48991) = 2399824135

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Least Common Multiple of 48985 and 48991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48985 and 48991, than apply into the LCM equation.

GCF(48985,48991) = 1
LCM(48985,48991) = ( 48985 × 48991) / 1
LCM(48985,48991) = 2399824135 / 1
LCM(48985,48991) = 2399824135

Least Common Multiple (LCM) of 48985 and 48991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48985 and 48991. First we will calculate the prime factors of 48985 and 48991.

Prime Factorization of 48985

Prime factors of 48985 are 5, 97, 101. Prime factorization of 48985 in exponential form is:

48985 = 51 × 971 × 1011

Prime Factorization of 48991

Prime factors of 48991 are 48991. Prime factorization of 48991 in exponential form is:

48991 = 489911

Now multiplying the highest exponent prime factors to calculate the LCM of 48985 and 48991.

LCM(48985,48991) = 51 × 971 × 1011 × 489911
LCM(48985,48991) = 2399824135