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What is the Least Common Multiple of 77051 and 77058?

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 77051 and 77058 is 5937395958.

LCM(77051,77058) = 5937395958

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Least Common Multiple of 77051 and 77058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77051 and 77058, than apply into the LCM equation.

GCF(77051,77058) = 1
LCM(77051,77058) = ( 77051 × 77058) / 1
LCM(77051,77058) = 5937395958 / 1
LCM(77051,77058) = 5937395958

Least Common Multiple (LCM) of 77051 and 77058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77051 and 77058. First we will calculate the prime factors of 77051 and 77058.

Prime Factorization of 77051

Prime factors of 77051 are 13, 5927. Prime factorization of 77051 in exponential form is:

77051 = 131 × 59271

Prime Factorization of 77058

Prime factors of 77058 are 2, 3, 1427. Prime factorization of 77058 in exponential form is:

77058 = 21 × 33 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 77051 and 77058.

LCM(77051,77058) = 131 × 59271 × 21 × 33 × 14271
LCM(77051,77058) = 5937395958