What is the Least Common Multiple of 66536 and 66554?

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 of 66536 and 66554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66536 and 66554, than apply into the LCM equation.

GCF(66536,66554) = 2
LCM(66536,66554) = ( 66536 × 66554) / 2
LCM(66536,66554) = 4428236944 / 2
LCM(66536,66554) = 2214118472

Least Common Multiple (LCM) of 66536 and 66554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66536 and 66554. First we will calculate the prime factors of 66536 and 66554.

Prime Factorization of 66536

Prime Factorization of 66554

Now multiplying the highest exponent prime factors to calculate the LCM of 66536 and 66554.

LCM(66536,66554) = 2³ × 8317¹ × 107¹ × 311¹
LCM(66536,66554) = 2214118472