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What is the Least Common Multiple of 66540 and 66548?

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 66548 is 1107025980.

LCM(66540,66548) = 1107025980

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Least Common Multiple of 66540 and 66548 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 66548, than apply into the LCM equation.

GCF(66540,66548) = 4
LCM(66540,66548) = ( 66540 × 66548) / 4
LCM(66540,66548) = 4428103920 / 4
LCM(66540,66548) = 1107025980

Least Common Multiple (LCM) of 66540 and 66548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66540 and 66548. First we will calculate the prime factors of 66540 and 66548.

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 66548

Prime factors of 66548 are 2, 127, 131. Prime factorization of 66548 in exponential form is:

66548 = 22 × 1271 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 66540 and 66548.

LCM(66540,66548) = 22 × 31 × 51 × 11091 × 1271 × 1311
LCM(66540,66548) = 1107025980