What is the Least Common Multiple of 13608 and 13618?
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 13608 and 13618 is 92656872.
LCM(13608,13618) = 92656872
Least Common Multiple of 13608 and 13618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13608 and 13618, than apply into the LCM equation.
GCF(13608,13618) = 2
LCM(13608,13618) = ( 13608 × 13618) / 2
LCM(13608,13618) = 185313744 / 2
LCM(13608,13618) = 92656872
Least Common Multiple (LCM) of 13608 and 13618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13608 and 13618. First we will calculate the prime factors of 13608 and 13618.
Prime Factorization of 13608
Prime factors of 13608 are 2, 3, 7. Prime factorization of 13608 in exponential form is:
13608 = 23 × 35 × 71
Prime Factorization of 13618
Prime factors of 13618 are 2, 11, 619. Prime factorization of 13618 in exponential form is:
13618 = 21 × 111 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 13608 and 13618.
LCM(13608,13618) = 23 × 35 × 71 × 111 × 6191
LCM(13608,13618) = 92656872
Related Least Common Multiples of 13608
- LCM of 13608 and 13612
- LCM of 13608 and 13613
- LCM of 13608 and 13614
- LCM of 13608 and 13615
- LCM of 13608 and 13616
- LCM of 13608 and 13617
- LCM of 13608 and 13618
- LCM of 13608 and 13619
- LCM of 13608 and 13620
- LCM of 13608 and 13621
- LCM of 13608 and 13622
- LCM of 13608 and 13623
- LCM of 13608 and 13624
- LCM of 13608 and 13625
- LCM of 13608 and 13626
- LCM of 13608 and 13627
- LCM of 13608 and 13628
Related Least Common Multiples of 13618
- LCM of 13618 and 13622
- LCM of 13618 and 13623
- LCM of 13618 and 13624
- LCM of 13618 and 13625
- LCM of 13618 and 13626
- LCM of 13618 and 13627
- LCM of 13618 and 13628
- LCM of 13618 and 13629
- LCM of 13618 and 13630
- LCM of 13618 and 13631
- LCM of 13618 and 13632
- LCM of 13618 and 13633
- LCM of 13618 and 13634
- LCM of 13618 and 13635
- LCM of 13618 and 13636
- LCM of 13618 and 13637
- LCM of 13618 and 13638