What is the Least Common Multiple of 66282 and 66290?

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 66282 and 66290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66282 and 66290, than apply into the LCM equation.

GCF(66282,66290) = 2
LCM(66282,66290) = ( 66282 × 66290) / 2
LCM(66282,66290) = 4393833780 / 2
LCM(66282,66290) = 2196916890

Least Common Multiple (LCM) of 66282 and 66290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66282 and 66290. First we will calculate the prime factors of 66282 and 66290.

Prime Factorization of 66282

Prime Factorization of 66290

Now multiplying the highest exponent prime factors to calculate the LCM of 66282 and 66290.

LCM(66282,66290) = 2¹ × 3¹ × 11047¹ × 5¹ × 7¹ × 947¹
LCM(66282,66290) = 2196916890