GCF and LCM Calculator Logo

What is the Least Common Multiple of 66261 and 66270?

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 66261 and 66270 is 1463705490.

LCM(66261,66270) = 1463705490

LCM Calculator and
and

Least Common Multiple of 66261 and 66270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66261 and 66270, than apply into the LCM equation.

GCF(66261,66270) = 3
LCM(66261,66270) = ( 66261 × 66270) / 3
LCM(66261,66270) = 4391116470 / 3
LCM(66261,66270) = 1463705490

Least Common Multiple (LCM) of 66261 and 66270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66261 and 66270. First we will calculate the prime factors of 66261 and 66270.

Prime Factorization of 66261

Prime factors of 66261 are 3, 13, 1699. Prime factorization of 66261 in exponential form is:

66261 = 31 × 131 × 16991

Prime Factorization of 66270

Prime factors of 66270 are 2, 3, 5, 47. Prime factorization of 66270 in exponential form is:

66270 = 21 × 31 × 51 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 66261 and 66270.

LCM(66261,66270) = 31 × 131 × 16991 × 21 × 51 × 472
LCM(66261,66270) = 1463705490