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What is the Least Common Multiple of 91402 and 91420?

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 91402 and 91420 is 4177985420.

LCM(91402,91420) = 4177985420

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Least Common Multiple of 91402 and 91420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91402 and 91420, than apply into the LCM equation.

GCF(91402,91420) = 2
LCM(91402,91420) = ( 91402 × 91420) / 2
LCM(91402,91420) = 8355970840 / 2
LCM(91402,91420) = 4177985420

Least Common Multiple (LCM) of 91402 and 91420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91402 and 91420. First we will calculate the prime factors of 91402 and 91420.

Prime Factorization of 91402

Prime factors of 91402 are 2, 23, 1987. Prime factorization of 91402 in exponential form is:

91402 = 21 × 231 × 19871

Prime Factorization of 91420

Prime factors of 91420 are 2, 5, 7, 653. Prime factorization of 91420 in exponential form is:

91420 = 22 × 51 × 71 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 91402 and 91420.

LCM(91402,91420) = 22 × 231 × 19871 × 51 × 71 × 6531
LCM(91402,91420) = 4177985420