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What is the Least Common Multiple of 77477 and 77488?

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 77477 and 77488 is 6003537776.

LCM(77477,77488) = 6003537776

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Least Common Multiple of 77477 and 77488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77477 and 77488, than apply into the LCM equation.

GCF(77477,77488) = 1
LCM(77477,77488) = ( 77477 × 77488) / 1
LCM(77477,77488) = 6003537776 / 1
LCM(77477,77488) = 6003537776

Least Common Multiple (LCM) of 77477 and 77488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77477 and 77488. First we will calculate the prime factors of 77477 and 77488.

Prime Factorization of 77477

Prime factors of 77477 are 77477. Prime factorization of 77477 in exponential form is:

77477 = 774771

Prime Factorization of 77488

Prime factors of 77488 are 2, 29, 167. Prime factorization of 77488 in exponential form is:

77488 = 24 × 291 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 77477 and 77488.

LCM(77477,77488) = 774771 × 24 × 291 × 1671
LCM(77477,77488) = 6003537776