GCF and LCM Calculator Logo

What is the Least Common Multiple of 65562 and 65576?

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 65562 and 65576 is 307092408.

LCM(65562,65576) = 307092408

LCM Calculator and
and

Least Common Multiple of 65562 and 65576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65562 and 65576, than apply into the LCM equation.

GCF(65562,65576) = 14
LCM(65562,65576) = ( 65562 × 65576) / 14
LCM(65562,65576) = 4299293712 / 14
LCM(65562,65576) = 307092408

Least Common Multiple (LCM) of 65562 and 65576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65562 and 65576. First we will calculate the prime factors of 65562 and 65576.

Prime Factorization of 65562

Prime factors of 65562 are 2, 3, 7, 223. Prime factorization of 65562 in exponential form is:

65562 = 21 × 31 × 72 × 2231

Prime Factorization of 65576

Prime factors of 65576 are 2, 7, 1171. Prime factorization of 65576 in exponential form is:

65576 = 23 × 71 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 65562 and 65576.

LCM(65562,65576) = 23 × 31 × 72 × 2231 × 11711
LCM(65562,65576) = 307092408