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What is the Least Common Multiple of 91730 and 91750?

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 91730 and 91750 is 841622750.

LCM(91730,91750) = 841622750

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Least Common Multiple of 91730 and 91750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91730 and 91750, than apply into the LCM equation.

GCF(91730,91750) = 10
LCM(91730,91750) = ( 91730 × 91750) / 10
LCM(91730,91750) = 8416227500 / 10
LCM(91730,91750) = 841622750

Least Common Multiple (LCM) of 91730 and 91750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91730 and 91750. First we will calculate the prime factors of 91730 and 91750.

Prime Factorization of 91730

Prime factors of 91730 are 2, 5, 9173. Prime factorization of 91730 in exponential form is:

91730 = 21 × 51 × 91731

Prime Factorization of 91750

Prime factors of 91750 are 2, 5, 367. Prime factorization of 91750 in exponential form is:

91750 = 21 × 53 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 91730 and 91750.

LCM(91730,91750) = 21 × 53 × 91731 × 3671
LCM(91730,91750) = 841622750