GCF and LCM Calculator Logo

What is the Least Common Multiple of 16614 and 16622?

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 16614 and 16622 is 138078954.

LCM(16614,16622) = 138078954

LCM Calculator and
and

Least Common Multiple of 16614 and 16622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16614 and 16622, than apply into the LCM equation.

GCF(16614,16622) = 2
LCM(16614,16622) = ( 16614 × 16622) / 2
LCM(16614,16622) = 276157908 / 2
LCM(16614,16622) = 138078954

Least Common Multiple (LCM) of 16614 and 16622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16614 and 16622. First we will calculate the prime factors of 16614 and 16622.

Prime Factorization of 16614

Prime factors of 16614 are 2, 3, 13, 71. Prime factorization of 16614 in exponential form is:

16614 = 21 × 32 × 131 × 711

Prime Factorization of 16622

Prime factors of 16622 are 2, 8311. Prime factorization of 16622 in exponential form is:

16622 = 21 × 83111

Now multiplying the highest exponent prime factors to calculate the LCM of 16614 and 16622.

LCM(16614,16622) = 21 × 32 × 131 × 711 × 83111
LCM(16614,16622) = 138078954