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What is the Least Common Multiple of 66740 and 66752?

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 66740 and 66752 is 1113757120.

LCM(66740,66752) = 1113757120

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Least Common Multiple of 66740 and 66752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66740 and 66752, than apply into the LCM equation.

GCF(66740,66752) = 4
LCM(66740,66752) = ( 66740 × 66752) / 4
LCM(66740,66752) = 4455028480 / 4
LCM(66740,66752) = 1113757120

Least Common Multiple (LCM) of 66740 and 66752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66740 and 66752. First we will calculate the prime factors of 66740 and 66752.

Prime Factorization of 66740

Prime factors of 66740 are 2, 5, 47, 71. Prime factorization of 66740 in exponential form is:

66740 = 22 × 51 × 471 × 711

Prime Factorization of 66752

Prime factors of 66752 are 2, 7, 149. Prime factorization of 66752 in exponential form is:

66752 = 26 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 66740 and 66752.

LCM(66740,66752) = 26 × 51 × 471 × 711 × 71 × 1491
LCM(66740,66752) = 1113757120