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What is the Least Common Multiple of 77091 and 77101?

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 77091 and 77101 is 5943793191.

LCM(77091,77101) = 5943793191

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Least Common Multiple of 77091 and 77101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77091 and 77101, than apply into the LCM equation.

GCF(77091,77101) = 1
LCM(77091,77101) = ( 77091 × 77101) / 1
LCM(77091,77101) = 5943793191 / 1
LCM(77091,77101) = 5943793191

Least Common Multiple (LCM) of 77091 and 77101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77091 and 77101. First we will calculate the prime factors of 77091 and 77101.

Prime Factorization of 77091

Prime factors of 77091 are 3, 7, 3671. Prime factorization of 77091 in exponential form is:

77091 = 31 × 71 × 36711

Prime Factorization of 77101

Prime factors of 77101 are 77101. Prime factorization of 77101 in exponential form is:

77101 = 771011

Now multiplying the highest exponent prime factors to calculate the LCM of 77091 and 77101.

LCM(77091,77101) = 31 × 71 × 36711 × 771011
LCM(77091,77101) = 5943793191