What is the Least Common Multiple of 66752 and 66766?

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 66752 and 66766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66752 and 66766, than apply into the LCM equation.

GCF(66752,66766) = 14
LCM(66752,66766) = ( 66752 × 66766) / 14
LCM(66752,66766) = 4456764032 / 14
LCM(66752,66766) = 318340288

Least Common Multiple (LCM) of 66752 and 66766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66752 and 66766. First we will calculate the prime factors of 66752 and 66766.

Prime Factorization of 66752

Prime Factorization of 66766

Now multiplying the highest exponent prime factors to calculate the LCM of 66752 and 66766.

LCM(66752,66766) = 2⁶ × 7¹ × 149¹ × 19¹ × 251¹
LCM(66752,66766) = 318340288