What is the Least Common Multiple of 66757 and 66773?

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 66757 and 66773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66757 and 66773, than apply into the LCM equation.

GCF(66757,66773) = 1
LCM(66757,66773) = ( 66757 × 66773) / 1
LCM(66757,66773) = 4457565161 / 1
LCM(66757,66773) = 4457565161

Least Common Multiple (LCM) of 66757 and 66773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66757 and 66773. First we will calculate the prime factors of 66757 and 66773.

Prime Factorization of 66757

Prime Factorization of 66773

Now multiplying the highest exponent prime factors to calculate the LCM of 66757 and 66773.

LCM(66757,66773) = 241¹ × 277¹ × 7¹ × 9539¹
LCM(66757,66773) = 4457565161