GCF and LCM Calculator Logo

What is the Least Common Multiple of 66480 and 66492?

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 66480 and 66492 is 368365680.

LCM(66480,66492) = 368365680

LCM Calculator and
and

Least Common Multiple of 66480 and 66492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66480 and 66492, than apply into the LCM equation.

GCF(66480,66492) = 12
LCM(66480,66492) = ( 66480 × 66492) / 12
LCM(66480,66492) = 4420388160 / 12
LCM(66480,66492) = 368365680

Least Common Multiple (LCM) of 66480 and 66492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66480 and 66492. First we will calculate the prime factors of 66480 and 66492.

Prime Factorization of 66480

Prime factors of 66480 are 2, 3, 5, 277. Prime factorization of 66480 in exponential form is:

66480 = 24 × 31 × 51 × 2771

Prime Factorization of 66492

Prime factors of 66492 are 2, 3, 1847. Prime factorization of 66492 in exponential form is:

66492 = 22 × 32 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 66480 and 66492.

LCM(66480,66492) = 24 × 32 × 51 × 2771 × 18471
LCM(66480,66492) = 368365680