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What is the Least Common Multiple of 91982 and 91993?

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 91982 and 91993 is 769245466.

LCM(91982,91993) = 769245466

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Least Common Multiple of 91982 and 91993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91982 and 91993, than apply into the LCM equation.

GCF(91982,91993) = 11
LCM(91982,91993) = ( 91982 × 91993) / 11
LCM(91982,91993) = 8461700126 / 11
LCM(91982,91993) = 769245466

Least Common Multiple (LCM) of 91982 and 91993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91982 and 91993. First we will calculate the prime factors of 91982 and 91993.

Prime Factorization of 91982

Prime factors of 91982 are 2, 11, 37, 113. Prime factorization of 91982 in exponential form is:

91982 = 21 × 111 × 371 × 1131

Prime Factorization of 91993

Prime factors of 91993 are 11, 8363. Prime factorization of 91993 in exponential form is:

91993 = 111 × 83631

Now multiplying the highest exponent prime factors to calculate the LCM of 91982 and 91993.

LCM(91982,91993) = 21 × 111 × 371 × 1131 × 83631
LCM(91982,91993) = 769245466