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What is the Least Common Multiple of 96650 and 96667?

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 96650 and 96667 is 9342865550.

LCM(96650,96667) = 9342865550

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Least Common Multiple of 96650 and 96667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96650 and 96667, than apply into the LCM equation.

GCF(96650,96667) = 1
LCM(96650,96667) = ( 96650 × 96667) / 1
LCM(96650,96667) = 9342865550 / 1
LCM(96650,96667) = 9342865550

Least Common Multiple (LCM) of 96650 and 96667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96650 and 96667. First we will calculate the prime factors of 96650 and 96667.

Prime Factorization of 96650

Prime factors of 96650 are 2, 5, 1933. Prime factorization of 96650 in exponential form is:

96650 = 21 × 52 × 19331

Prime Factorization of 96667

Prime factors of 96667 are 96667. Prime factorization of 96667 in exponential form is:

96667 = 966671

Now multiplying the highest exponent prime factors to calculate the LCM of 96650 and 96667.

LCM(96650,96667) = 21 × 52 × 19331 × 966671
LCM(96650,96667) = 9342865550