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What is the Least Common Multiple of 77035 and 77045?

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 77035 and 77045 is 1187032315.

LCM(77035,77045) = 1187032315

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Least Common Multiple of 77035 and 77045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77035 and 77045, than apply into the LCM equation.

GCF(77035,77045) = 5
LCM(77035,77045) = ( 77035 × 77045) / 5
LCM(77035,77045) = 5935161575 / 5
LCM(77035,77045) = 1187032315

Least Common Multiple (LCM) of 77035 and 77045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77035 and 77045. First we will calculate the prime factors of 77035 and 77045.

Prime Factorization of 77035

Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:

77035 = 51 × 71 × 311 × 711

Prime Factorization of 77045

Prime factors of 77045 are 5, 19, 811. Prime factorization of 77045 in exponential form is:

77045 = 51 × 191 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 77035 and 77045.

LCM(77035,77045) = 51 × 71 × 311 × 711 × 191 × 8111
LCM(77035,77045) = 1187032315