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What is the Least Common Multiple of 77617 and 77630?

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 77617 and 77630 is 6025407710.

LCM(77617,77630) = 6025407710

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Least Common Multiple of 77617 and 77630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77617 and 77630, than apply into the LCM equation.

GCF(77617,77630) = 1
LCM(77617,77630) = ( 77617 × 77630) / 1
LCM(77617,77630) = 6025407710 / 1
LCM(77617,77630) = 6025407710

Least Common Multiple (LCM) of 77617 and 77630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77617 and 77630. First we will calculate the prime factors of 77617 and 77630.

Prime Factorization of 77617

Prime factors of 77617 are 77617. Prime factorization of 77617 in exponential form is:

77617 = 776171

Prime Factorization of 77630

Prime factors of 77630 are 2, 5, 7, 1109. Prime factorization of 77630 in exponential form is:

77630 = 21 × 51 × 71 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 77617 and 77630.

LCM(77617,77630) = 776171 × 21 × 51 × 71 × 11091
LCM(77617,77630) = 6025407710