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What is the Least Common Multiple of 91058 and 91066?

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 91058 and 91066 is 4146143914.

LCM(91058,91066) = 4146143914

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Least Common Multiple of 91058 and 91066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91058 and 91066, than apply into the LCM equation.

GCF(91058,91066) = 2
LCM(91058,91066) = ( 91058 × 91066) / 2
LCM(91058,91066) = 8292287828 / 2
LCM(91058,91066) = 4146143914

Least Common Multiple (LCM) of 91058 and 91066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91058 and 91066. First we will calculate the prime factors of 91058 and 91066.

Prime Factorization of 91058

Prime factors of 91058 are 2, 11, 4139. Prime factorization of 91058 in exponential form is:

91058 = 21 × 111 × 41391

Prime Factorization of 91066

Prime factors of 91066 are 2, 45533. Prime factorization of 91066 in exponential form is:

91066 = 21 × 455331

Now multiplying the highest exponent prime factors to calculate the LCM of 91058 and 91066.

LCM(91058,91066) = 21 × 111 × 41391 × 455331
LCM(91058,91066) = 4146143914