GCF and LCM Calculator Logo

What is the Least Common Multiple of 66608 and 66628?

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 66608 and 66628 is 1109489456.

LCM(66608,66628) = 1109489456

LCM Calculator and
and

Least Common Multiple of 66608 and 66628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66608 and 66628, than apply into the LCM equation.

GCF(66608,66628) = 4
LCM(66608,66628) = ( 66608 × 66628) / 4
LCM(66608,66628) = 4437957824 / 4
LCM(66608,66628) = 1109489456

Least Common Multiple (LCM) of 66608 and 66628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66608 and 66628. First we will calculate the prime factors of 66608 and 66628.

Prime Factorization of 66608

Prime factors of 66608 are 2, 23, 181. Prime factorization of 66608 in exponential form is:

66608 = 24 × 231 × 1811

Prime Factorization of 66628

Prime factors of 66628 are 2, 16657. Prime factorization of 66628 in exponential form is:

66628 = 22 × 166571

Now multiplying the highest exponent prime factors to calculate the LCM of 66608 and 66628.

LCM(66608,66628) = 24 × 231 × 1811 × 166571
LCM(66608,66628) = 1109489456