GCF and LCM Calculator Logo

What is the Least Common Multiple of 66349 and 66354?

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 66349 and 66354 is 4402521546.

LCM(66349,66354) = 4402521546

LCM Calculator and
and

Least Common Multiple of 66349 and 66354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66349 and 66354, than apply into the LCM equation.

GCF(66349,66354) = 1
LCM(66349,66354) = ( 66349 × 66354) / 1
LCM(66349,66354) = 4402521546 / 1
LCM(66349,66354) = 4402521546

Least Common Multiple (LCM) of 66349 and 66354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66349 and 66354. First we will calculate the prime factors of 66349 and 66354.

Prime Factorization of 66349

Prime factors of 66349 are 43, 1543. Prime factorization of 66349 in exponential form is:

66349 = 431 × 15431

Prime Factorization of 66354

Prime factors of 66354 are 2, 3, 11059. Prime factorization of 66354 in exponential form is:

66354 = 21 × 31 × 110591

Now multiplying the highest exponent prime factors to calculate the LCM of 66349 and 66354.

LCM(66349,66354) = 431 × 15431 × 21 × 31 × 110591
LCM(66349,66354) = 4402521546