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What is the Least Common Multiple of 91656 and 91662?

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 91656 and 91662 is 1400228712.

LCM(91656,91662) = 1400228712

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Least Common Multiple of 91656 and 91662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91656 and 91662, than apply into the LCM equation.

GCF(91656,91662) = 6
LCM(91656,91662) = ( 91656 × 91662) / 6
LCM(91656,91662) = 8401372272 / 6
LCM(91656,91662) = 1400228712

Least Common Multiple (LCM) of 91656 and 91662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91656 and 91662. First we will calculate the prime factors of 91656 and 91662.

Prime Factorization of 91656

Prime factors of 91656 are 2, 3, 19, 67. Prime factorization of 91656 in exponential form is:

91656 = 23 × 32 × 191 × 671

Prime Factorization of 91662

Prime factors of 91662 are 2, 3, 15277. Prime factorization of 91662 in exponential form is:

91662 = 21 × 31 × 152771

Now multiplying the highest exponent prime factors to calculate the LCM of 91656 and 91662.

LCM(91656,91662) = 23 × 32 × 191 × 671 × 152771
LCM(91656,91662) = 1400228712