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What is the Least Common Multiple of 79077 and 79090?

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 79077 and 79090 is 6254199930.

LCM(79077,79090) = 6254199930

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Least Common Multiple of 79077 and 79090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79077 and 79090, than apply into the LCM equation.

GCF(79077,79090) = 1
LCM(79077,79090) = ( 79077 × 79090) / 1
LCM(79077,79090) = 6254199930 / 1
LCM(79077,79090) = 6254199930

Least Common Multiple (LCM) of 79077 and 79090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79077 and 79090. First we will calculate the prime factors of 79077 and 79090.

Prime Factorization of 79077

Prime factors of 79077 are 3, 43, 613. Prime factorization of 79077 in exponential form is:

79077 = 31 × 431 × 6131

Prime Factorization of 79090

Prime factors of 79090 are 2, 5, 11, 719. Prime factorization of 79090 in exponential form is:

79090 = 21 × 51 × 111 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 79077 and 79090.

LCM(79077,79090) = 31 × 431 × 6131 × 21 × 51 × 111 × 7191
LCM(79077,79090) = 6254199930