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What is the Least Common Multiple of 96610 and 96620?

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 96610 and 96620 is 933445820.

LCM(96610,96620) = 933445820

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Least Common Multiple of 96610 and 96620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96610 and 96620, than apply into the LCM equation.

GCF(96610,96620) = 10
LCM(96610,96620) = ( 96610 × 96620) / 10
LCM(96610,96620) = 9334458200 / 10
LCM(96610,96620) = 933445820

Least Common Multiple (LCM) of 96610 and 96620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96610 and 96620. First we will calculate the prime factors of 96610 and 96620.

Prime Factorization of 96610

Prime factors of 96610 are 2, 5, 9661. Prime factorization of 96610 in exponential form is:

96610 = 21 × 51 × 96611

Prime Factorization of 96620

Prime factors of 96620 are 2, 5, 4831. Prime factorization of 96620 in exponential form is:

96620 = 22 × 51 × 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 96610 and 96620.

LCM(96610,96620) = 22 × 51 × 96611 × 48311
LCM(96610,96620) = 933445820