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What is the Least Common Multiple of 66540 and 66550?

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 66540 and 66550 is 442823700.

LCM(66540,66550) = 442823700

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Least Common Multiple of 66540 and 66550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66540 and 66550, than apply into the LCM equation.

GCF(66540,66550) = 10
LCM(66540,66550) = ( 66540 × 66550) / 10
LCM(66540,66550) = 4428237000 / 10
LCM(66540,66550) = 442823700

Least Common Multiple (LCM) of 66540 and 66550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66540 and 66550. First we will calculate the prime factors of 66540 and 66550.

Prime Factorization of 66540

Prime factors of 66540 are 2, 3, 5, 1109. Prime factorization of 66540 in exponential form is:

66540 = 22 × 31 × 51 × 11091

Prime Factorization of 66550

Prime factors of 66550 are 2, 5, 11. Prime factorization of 66550 in exponential form is:

66550 = 21 × 52 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 66540 and 66550.

LCM(66540,66550) = 22 × 31 × 52 × 11091 × 113
LCM(66540,66550) = 442823700