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What is the Least Common Multiple of 77500 and 77507?

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 77500 and 77507 is 6006792500.

LCM(77500,77507) = 6006792500

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Least Common Multiple of 77500 and 77507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77500 and 77507, than apply into the LCM equation.

GCF(77500,77507) = 1
LCM(77500,77507) = ( 77500 × 77507) / 1
LCM(77500,77507) = 6006792500 / 1
LCM(77500,77507) = 6006792500

Least Common Multiple (LCM) of 77500 and 77507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77500 and 77507. First we will calculate the prime factors of 77500 and 77507.

Prime Factorization of 77500

Prime factors of 77500 are 2, 5, 31. Prime factorization of 77500 in exponential form is:

77500 = 22 × 54 × 311

Prime Factorization of 77507

Prime factors of 77507 are 179, 433. Prime factorization of 77507 in exponential form is:

77507 = 1791 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 77500 and 77507.

LCM(77500,77507) = 22 × 54 × 311 × 1791 × 4331
LCM(77500,77507) = 6006792500