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What is the Least Common Multiple of 91753 and 91762?

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 91753 and 91762 is 8419438786.

LCM(91753,91762) = 8419438786

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Least Common Multiple of 91753 and 91762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91753 and 91762, than apply into the LCM equation.

GCF(91753,91762) = 1
LCM(91753,91762) = ( 91753 × 91762) / 1
LCM(91753,91762) = 8419438786 / 1
LCM(91753,91762) = 8419438786

Least Common Multiple (LCM) of 91753 and 91762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91753 and 91762. First we will calculate the prime factors of 91753 and 91762.

Prime Factorization of 91753

Prime factors of 91753 are 91753. Prime factorization of 91753 in exponential form is:

91753 = 917531

Prime Factorization of 91762

Prime factors of 91762 are 2, 11, 43, 97. Prime factorization of 91762 in exponential form is:

91762 = 21 × 111 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 91753 and 91762.

LCM(91753,91762) = 917531 × 21 × 111 × 431 × 971
LCM(91753,91762) = 8419438786