What is the Least Common Multiple of 66888 and 66906?

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 66888 and 66906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66888 and 66906, than apply into the LCM equation.

GCF(66888,66906) = 18
LCM(66888,66906) = ( 66888 × 66906) / 18
LCM(66888,66906) = 4475208528 / 18
LCM(66888,66906) = 248622696

Least Common Multiple (LCM) of 66888 and 66906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66888 and 66906. First we will calculate the prime factors of 66888 and 66906.

Prime Factorization of 66888

Prime Factorization of 66906

Now multiplying the highest exponent prime factors to calculate the LCM of 66888 and 66906.

LCM(66888,66906) = 2³ × 3⁴ × 929¹ × 7¹ × 59¹
LCM(66888,66906) = 248622696