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What is the Least Common Multiple of 66436 and 66456?

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 66436 and 66456 is 1103767704.

LCM(66436,66456) = 1103767704

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Least Common Multiple of 66436 and 66456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66436 and 66456, than apply into the LCM equation.

GCF(66436,66456) = 4
LCM(66436,66456) = ( 66436 × 66456) / 4
LCM(66436,66456) = 4415070816 / 4
LCM(66436,66456) = 1103767704

Least Common Multiple (LCM) of 66436 and 66456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66436 and 66456. First we will calculate the prime factors of 66436 and 66456.

Prime Factorization of 66436

Prime factors of 66436 are 2, 17, 977. Prime factorization of 66436 in exponential form is:

66436 = 22 × 171 × 9771

Prime Factorization of 66456

Prime factors of 66456 are 2, 3, 13, 71. Prime factorization of 66456 in exponential form is:

66456 = 23 × 32 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 66436 and 66456.

LCM(66436,66456) = 23 × 171 × 9771 × 32 × 131 × 711
LCM(66436,66456) = 1103767704