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What is the Least Common Multiple of 91520 and 91540?

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 91520 and 91540 is 418887040.

LCM(91520,91540) = 418887040

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Least Common Multiple of 91520 and 91540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91520 and 91540, than apply into the LCM equation.

GCF(91520,91540) = 20
LCM(91520,91540) = ( 91520 × 91540) / 20
LCM(91520,91540) = 8377740800 / 20
LCM(91520,91540) = 418887040

Least Common Multiple (LCM) of 91520 and 91540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91520 and 91540. First we will calculate the prime factors of 91520 and 91540.

Prime Factorization of 91520

Prime factors of 91520 are 2, 5, 11, 13. Prime factorization of 91520 in exponential form is:

91520 = 27 × 51 × 111 × 131

Prime Factorization of 91540

Prime factors of 91540 are 2, 5, 23, 199. Prime factorization of 91540 in exponential form is:

91540 = 22 × 51 × 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 91520 and 91540.

LCM(91520,91540) = 27 × 51 × 111 × 131 × 231 × 1991
LCM(91520,91540) = 418887040