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What is the Least Common Multiple of 96055 and 96061?

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 96055 and 96061 is 9227139355.

LCM(96055,96061) = 9227139355

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Least Common Multiple of 96055 and 96061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96055 and 96061, than apply into the LCM equation.

GCF(96055,96061) = 1
LCM(96055,96061) = ( 96055 × 96061) / 1
LCM(96055,96061) = 9227139355 / 1
LCM(96055,96061) = 9227139355

Least Common Multiple (LCM) of 96055 and 96061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96055 and 96061. First we will calculate the prime factors of 96055 and 96061.

Prime Factorization of 96055

Prime factors of 96055 are 5, 19211. Prime factorization of 96055 in exponential form is:

96055 = 51 × 192111

Prime Factorization of 96061

Prime factors of 96061 are 7, 13723. Prime factorization of 96061 in exponential form is:

96061 = 71 × 137231

Now multiplying the highest exponent prime factors to calculate the LCM of 96055 and 96061.

LCM(96055,96061) = 51 × 192111 × 71 × 137231
LCM(96055,96061) = 9227139355